Connecticut is allowing camps to open camps to open June 29 with very strict set of rules and restrictions. You might find a day cam and home rental in the Waterbury area to suit your requirements.
Since the regulations limit groups to 30 including staff and a counselor to 9 campers I don;t think it will be economically viable for camps to operate,
I have been on the board of a Jewish community sleepaway camp for 40+ years. They have also operated a day camp on the grounds for a few years. Last year there were 300 sleeping in camp plus 200 in day camp.
This year, no day camp and in order to comply with the group of 30 rules (mess hall, religious services, swimming, etc. There will be only 60 campers and 20 staff. The costs will be astronomical, almost $300 a day per camper (and this is a non-profit camp). I voted to keep the camp closed this summer, but was on the losing side. Now we’ll see if the state approves the camp’s plan of operation and it actually opens. IO highly doubt it.