E1,
$1657 in D.C. is chump change, unless you don't mind living in the "not so nice part of town". I have many friends that live in that area in the military. My headquarters is located near Bolling AFB/Anacostia Annex. For most of them, they live in the "Getto" about 20 miles from work
(Woodbridge, US1 South) , and it still takes them 1 1/2 hours to get to work if they don't plan it just right or leave for work before 4AM (inner city traffic). Others are the "D.C. Commuters" they live outside of the main D.C. area, 70 to 80 miles away (Frederick or Hagerstown, MD) ; the rent in those areas are still $1100 - $1200 a month for something decent. If I leave for D.C. from my house (15 minutes north of Hagerstown) and don't get on I270 before 6 AM I might as well consider that I will not make it there until 10:30 AM. You may get extremely lucky finding a place in D.C., but you had better do a lot of research. Location, traffic patterns, schools if you have any little ones...
I left out of Augusta, GA, similar to Ft. Bragg in the housing community; I was completely shocked when I got up here, everything is 2-3 times more expensive.
Just my $.02