Butler_Blue,
I'd suggest paying a little more in rent your first year in DC. Then after that go looking for cheaper places that may be less secure. I lived in Indiana my whole life, also working/living in the near east-side of Indianapolis. The insecure areas of DC are more intimidating than the insecure areas of Indianapolis. Just my opinion. Anyway, I plan on following my advice when I move to Nashville, but I could just be rationalizing it.
Currently I live on the main drag between the Courthouse and Clarendon metro stations in Arlington. I see the G'town shuttle stopping at the Clarendon metro station as the university has some offices there. One bedrooms within 5 minutes walking of the metro run about 1300-1500. Generally, the buildings are new, large, luxury condo type buildings. Cheaper 1-bedrooms are a little farther away and in older (built in 60s or before) garden style apartments. The distance from the metro is still doable and probably closer than you'll find in DC. The orange-line corridor is probably the safest area you'll find. It's yuppie/young professional/mid-life hippie central.