Sorry you're hard up at the moment, OP. I lived in my car for a year, so I know your pain.

My recommendation is the 76 truck stop in Wallingford, if it's not too far. It's a safe place to park overnight, and has cheap showers that you can use for like, $1.

Also check into calling 211. I don't know what the resources are like in New Haven right now, but when I was homeless they were able to get me food and a temporary place to stay a few years ago.

Good luck. Keeping my fingers crossed for you.