Since you asked this question in January, I assume you have found a place by now. If not, contact me, as I live in the neighborhood. There are quite a few rentals available this fall, and I can tell you about one that is two blocks from Williams and will be available at the end of the month.
Good luck with your search!
There is a home for rent at 6712 Elwood, on the corner of Corvalis (near Williams). It's a 3/2 for $2,495/mo. Call Cornerstone Property Management at 408-377-3000.
There are others, but this is the first to come to mind. If this doesn't suite your needs, let us know more about what you are looking for.