Little Lady Needs a Home (Audelia & Walnut)

Hey yall, I have had this stray hanging around my apartment for about a month give or take and she is the sweetest cat I have ever met. I took her to PetSmart and confirmed that she does not have a microchip, and I've had found pet posts up since she showed up and no one has come to claim her. My issue now is that it is so cold outside that I really would like to find a home for her so she doesn't have to suffer it. I already have 2 cats and cannot take anymore in on my lease otherwise I would foster her. I have been trying to contact shelters in the area but they are all full and can't take anymore in at the moment. Please let me know in the comments if you are interested at all, thank you!