Looking for Foster or shelter with space for stray but friendly cat

I’ve been filling out intake forms for the human society, PAWs and the animal defense league but have either not heard back or have been told they won’t take her. She was part of a stray cat colony at my apartment complex but after the recent flash floods- she is the only one we have seen. She seems super lonely and has pretty much stayed on our front door area 24/7 since all the rain happened. I have no issue feeding her but we are moving in Aug and I’m worried that with her losing her friends and with how small she is ( she is probably only 3 to 4 pounds) she will no fair well without support. She also is seeking more attention and affection when I feed her and seems to have taken an interest in the inside of my apartment. To me she just seems to be saying she is ready to come inside. She has a clipped ear so I assume she has already been spayed and checked for a micro chip. I really want to get her somewhere safe before another batch of storms and especially before I leave the city in August. I knew finding space in a shelter wouldn’t be easy but even with offering to foster her until space - Ive still not found a place for her. I’m looking for any Facebook groups, private shelters/rescues, ect that might be something beyond what google can offer me.