Faced with the ominous possibility that Connecticut hospitals soon won't be able to handle a continued surge of coronavirus patients, the governor and healthcare executives revealed a broad plan Monday to use colleges, casinos, arenas and other venues to help treat the state's sick. Among the drastic actions also being considered, authorities said, was to isolate nursing home patients who test positive for COVID-19 in separate facilities, including some that would have to be re-opened. The state has at least 20 nursing homes with at least one coronavirus case, authorities said Monday, and an assisted living facility in Ridgefield has been connected to six deaths. Federal agencies are working in Connecticut to expand hospital overflow space including a 250-bed emergency facility at Southern Connecticut State University. The Connecticut National Guard, which had already set up field hospitals in Danbury and Hartford, will begin converting SCSU's Moore Field House on Tuesday. David Pytlik, the guard's public affairs officer, said soldiers will unpack and install medical equipment, which is arriving from the U.S. Department of Health and Human Services. The National Guard is also working on converting Webster Bank Arena in Bridgeport and Western Connecticut State University in Danbury into minimum-care hospital facilities. Separately, the U.S. Army Corps of Engineers is in Connecticut scouting out two major locations for health facilities expansion: the Mohegan Sun resort and the Connecticut Convention Center in Hartford. "Right now we're looking for patients," Lamont said Monday afternoon. "We're looking for beds." He noted that in downtown Hartford, doctors and nurses tending patients in the convention center on the riverfront could stay and dine in nearby hotels. The state is planning for a mid-April peak of the need for hospital beds, depending on the success that social distancing may have on the spread of the virus. "Look if we're crowded in the south, maybe we've got some capacity in the northern part of the state, and it could be just the opposite in three or four weeks," Lamont said. One of the sites planned for an patient-overflow location is the Tully Health Center in Stamford, a medical office, gym and general purpose building operated by Stamford Health. The idea would be to open beds at Tully for discharged patients who need infection-free places to stay during the crisis. Overall, there are about 9,000 hospital beds in the state's 27 acute-care hospitals. "As part of our ongoing capacity planning efforts related to COVID-19," Stamford Health said in a written release after Lamont announced the location, "we are working with state authorities regarding relocating and consolidating services, and we will communicate with our patients and the community as our plans solidify." The developments came on a day when another 578 people tested positive for the COVID-19 virus, bringing the total to 2,571, a 29-percent jump from Sunday as the infection spreads more into New Haven County, Lamont said. The Department of Public Health reported two more deaths statewide, bringing the total to 36. Meanwhile, at the White House, United Technologies Corp. CEO Gregory J. Hayes announced Monday night that the company is producing personal protective equipment, including face shields, and working with the U.S. Air Force to evacuate people sick with coronavirus from certain areas. "We stand ready to help in any way we can," Hayes said, standing next to President Donald Trump in the historic Rose Garden. "We don't need the Defense Production Act to ask us to act." Trump has been under criticism for not using the act to force companies to assist in the manufacture of equipment as the coronavirus spreads. Last week, Farmington-based UTC donated about 90,000 pieces of personal protective equipment (PPE) to the Federal Emergency Management Agency. Next week, the company will have nearly a million more pieces to donate. The company started production of face shields on Monday and will have 10,000 ready in the next month, said Hayes, who appeared at the White House with the CEOs of Proctor and Gamble, Honeywell, Jockey and My Pillow Inc, which are helping produce medical supplies. Hospital chiefs in Hartford Sitting in a State Capitol meeting room with heads of the state's large hospital chains, Lamont said during a 37-minute news conference that he was encouraged by their expertise and cooperation. "There's what we control and there's what we don't control," Lamont said, affirming the importance of state hospitals. "I think in terms of what we can control, I'm feeling really good about where we are," Lamont said, adding that he and other governors around the nation held a video conference Monday with President Donald Trump. "Right now we're ahead of the curve and I'm doing everything I can to stay ahead of the curve." Marna Borgstrom, CEO of Yale-New Haven, said that in Greenwich Hospital, there are currently 85 to 90 COVID-19 patients and another 150 in New Haven. "We are running through PPE at a pretty fast clip," she said. "If this virus spikes we will not have enough staff to take care of patients," she said, adding at the current rate, there are up to two weeks of PPE left in New Haven. The average hospital stay has been 13 days, and there are currently 517 people hospitalized in Connecticut with hundreds more anticipated in the short term. Norwalk Hospital confirmed six new cases Monday morning, said Dr. John Murphy, CEO of Nuvance Health, which operates seven hospitals in Connecticut and New York. Murphy said that overall mortality rates for the disease range between 1 and 2 percent. However, the mortality rate is 17 percent for those over 80; about 8 percent for those over 70 and about 4 percent for those over 60. "But if you get on a ventilator and you're over the age of 80, there is a significant mortality associated with that," he said. The convention center and Mohegan Sun would be part of the state's surge capacity expansion but it's still unclear exactly how they would be used. They could be for patients or for safe housing for health care workers. Both locations are able to provide high-volume food service. "We're first doing the site analysis and decisions regarding usage will come soon," said Max Reiss, spokesman for Gov. Ned Lamont. The Army Corps will not oversee any new construction at Mohegan Sun or the Connecticut Convention Center, which is on the Connecticut River in downtown Hartford. Rather, Reiss said, the engineering brigade is looking at such issues as where beds might be located, where and how to install nurses' stations and waste removal logistics. Hospital groups have made their own arrangements for added capacity, for example Bridgeport Hospital, part of Yale New Haven Health, would use Webster Bank Arena for overflow, and Hartford Hospital would use a Trinity College athletic center. Lamont said there is a concerted effort in state nursing homes to provide separate residential facilities for those who are COVID-19-positive, including opening facilities that are currently vacant. "They can be petri dishes in terms of transmission of the virus," Lamont said. "We got a little heat about this. No visitation there. Yes, we've had incidents where people have tested positive in many of those centers now. The good news is we've got capacity in there. So we have empty wings where we can move people if they have to be quarantined in a separate area. We actually have a number of nursing homes that are unoccupied at this point. With a modest upgrade we can use them for say, COVID patients to get folks out of the nursing home in total and get them in a separate place where they can be quarantined." Lamont said there is also plan in place to address crowded conditions in state homeless shelters. "People living in very close proximity, we're getting them a smaller group, hotels and other facilities where we can move folks and certainly anybody's who's been tested or has been in contact with somebody who's been tested, we're getting them separated," Lamont said. "It's just dangerous as can be for those folks not to be thoroughly quarantined and taken care of in a separate facility." First positive test for an inmate Also on Monday, the state Department of Correction reported that a 32-year-old man at the Corrigan-Radgowski Correctional Center in Uncasville has become the first inmate to test positive for the COVID-19 virus. "As soon as it was suspected the offender had symptoms consistent with the COVID-19 virus he was isolated from the rest of the population," said a DOC statement. "Once the positive test result was confirmed, he was placed in a negative pressure isolation room. The negative pressure room, which allows for air to flow into, but not escape from the room - thus containing airborne contaminants within the room, is located in the Corrigan building of the correctional facility." Other inmates in the same housing unit will be isolated from the rest of the prison population for 14 days, and a review is being made of staff members who might have been in proximity to the man, whose identity is being withheld. On March 21, a staff member at the facility tested positive for the virus. "Since that date, all offender transfers in and out of the Radgowski building have been suspended," the DOC said. "In addition, staff temperature checks have been increased from one to two times per shift." In other pandemic action on Monday, Greenwich First Selectman Fred Camillo said he agreed that it's time for police in his town to enforce the recent ordinance closing town parks. Lamont said there is a concerted effort in state nursing homes to provide separate residential facilities for those who are COVID-19-positive, including opening facilities that are currently vacant. "They can be petri dishes in terms of transmission of the virus," Lamont said. "We got a little heat about this. No visitation there. Yes, we've had incidents where people have tested positive in many of those centers now. The good news is we've got capacity in there. So we have empty wings where we can move people if they have to be quarantined in a separate area. We actually have a number of nursing homes that are unoccupied at this point. With a modest upgrade we can use them for say, COVID patients to get folks out of the nursing home in total and get them in a separate place where they can be quarantined." Barbara Pearce, president of Connecticut Hospice in Branford, said the 52-bed facility, which is a licensed acute-care hospital, would accept non-hospice patients from other hospitals if the need arises. "We've moved all our hospice patients to one wing," she said. But empty beds in that wing could be used for non-hospice patients as well. Patients sent to Connecticut Hospice would not be positive for COVID-19. "I would imagine that most of the patients we get will be near the end of life," Pearce said, who would choose Connecticut Hospice because no positive cases of coronavirus have been recorded there. Kaitlyn Krasselt, Emilie Munson and Bill Cummings contributed to this report.