Housing help!!

Exiting a domestic violence relationship and it’s just me and my 4 year old son. I have already gone though the whole process of calling to a shelter but it works like a raffle and “all shelters in Maricopa county are at capacity” My 4 year old and I need to leave asap. A social worker called me and told me I have to get us out of here. Do you have, or does anyone you know have a room, casita, or snowbird spot etc.? Please comment if you can help. I do not have family in AZ, I am employed, have transportation, no drugs, no 420 (if you do that’s okay though) I rarely drink either. Please comment if you can help, have any questions, or can get me in contact with someone you know. We would really appreciate it!