Since you're willing to travel, I suggest Westminster or Eldersburg/Sykesville. I think there are around 3 apartment rental places in Westminster, a 1BR would run you 800-900. The most expensive is Ridgeview Chase, my mom lived there a while ago and it seemed alright but again is the most expensive. You might want to try Gaither Manor in Sykesville, they are older apartments but VERY cheap for the area- 700 for a 1BR. (
website here)
Also, renting a townhouse or private apartment would probably be even cheaper...check local papers and craigslist.