Also.. the Salvation army.. they have emergency shelter and some hav transitional living... call these numbers if you ca,, 773-275-9383, Speak to Teresa Certas, 773-271-6182 speak to jon price or 630-897-7265 (sorry didnt get the name)
You might also try the YWCA.. Some of them have transitional housing..567-208-4830 or email gla@midohio.twcbc.com That for the great lakes regional area.
Also. St. Marys PADS 847-298-2846
You said you tried Wings.. what was their reasoning for not wanting to help? Ill get after em!!!
West Suburban Pads 888-338-1744
Break through ministries 773-722-0179
and..
Lincoln Park Community Center 773-549-6111. I dont now if these are in your area.. to far for you to get to or whatever.. but try them and see what they say.. you dont have anything to lose right?