If you are still looking, my husband and I will be moving out of our apartment in December-January. It is in east Odessa (I can get to 191 and Loop 250 in Midland in 15 minutes any time of the day). We are having to break our lease (but have not put in the papers yet. The lease is good until march 31, 2 bed 1 bath, small (~750-800 sq. feet) 965/ month, no bills included...
Sadly its one of the cheapest you will find that is still in a halfway decent neighborhood...