If you are looking for a "house" - meaning a single family detached home - for that price, you are going to be extremely hard pressed to find one in Martinez (or anywhere in the Bay Area, for that matter!). The listings available for rent in your price range in the Martinez area are for apartments. If that is something you would consider, then as Michelle said, Craigslist would be a great place to look. There are a few different options you could consider based on current listings there now.
If you need further assistance, please feel free to contact me directly!
Alan Kurpiewski, RealtorÂ®
CA BRE 01912043