Rarely.... there are corporate apartments, but they're normally pretty high per month. But it depends on what your situation is, how long you will be here, etc.
Here's a link to the few I found.
Last 30-days of the lease you can put the home up for showings. Or, sell the home and the new owner takes over as landlord. Would have to make some arrangements with the tenants for showings...... more
You'll have to be a bit more specific than that. There are lots of safe neighborhoods and affordable means different things to different people. Send me an email or give me a call and let's talk details about what you'd like in a home.