I am in a similar situation. I will be without housing for a week or two starting May 7th. I do have limited funds and a job near Washington Square Park. If I could get a shower a place to crash I could even pay per day or week. I am drug free, clean etc. I just need a place to sleep, clean up, and store my bags for a week or two and then Ill have enough saved up to rent a room.
Please help and thanks. Again I can give you some dough or teach you chess. I am a pro level player.