Female recent graduate needs housing, hoping for max $750 / month

I just graduated with a B.S. from Stanford and am working in the area, hoping for a place starting between October 1 and October 6. I'm hoping to rent it at least through Fall quarter, possibly longer.

I don't mind sleeping in your living room or sharing a room with someone. Does not smoke, do drugs, drink, party, and will not bring male overnight guests in. Quiet and clean person. The only thing I hope for is that the place is close to Menlo Park or Stanford and relatively cheap.