There is not much in this area at $1000 or less any more.
Prices have just gone up so much due to high demand.
If you have bad credit, you will need to do something to make an owner interested in you.
Something like offering to pay 2 or 3 times the normal deposit.
Otherwise it will be very rough going in my opinion.
Credit shows your willingness and ability to pay your obligations, so with bad credit, you're asking an owner to take on risk and you may likely have to pay them for taking on that risk in today's market.
You can search for Bedford rental properties at this link: