Inexp. lodging, CABGx3 St Mary's 11/29/24. Please help!

I need to be in Rochester near St Mary's hospital for about 14 days while my husband undergoes open heart surgery. His surgery is scheduled for 11/29/24. We are from out-of-state. I need more information about inexpensive / charitable / nonprofit housing. I see 3 places - for transplants, cancer patients, and RMH for children & families. Are there others? We cant afford even a cheap hotel - even $100/night will add up to over $1400.00. Is there anything that might be less than half that amount? All suggestions are appreciated. I have no idea where to stay. It's too cold for me to be sleeping in our car!!!!