How do I have find a home when I leave student housing in LA when I have no job and no family?

I am a recent BA gradate with 100,000 in student debt (private school with a half-scholarship seemed so reasonably priced at the time) who will be leaving my scholarship-sponsored housing next month. I only have 1500 in savings, but am still in cles so I only have my work study job (which I'm forced to end at the end of my studies). While I have enough in savings for a month's rent, what are my options when I have no down payment money, no credit, no steady job, and no co-signers? (FYI, I am a straight-A, clean-cut student who spent money on books instead of booze in college. I went to school at USC and lived on-campus.)