You may want to call around to DC realtors, as there is a glut of owned-but-not-occupied condo's on the market. Folks bought them when the market was still strong and couldn't flip them in time. Property managers in DC are expensive compared to other areas and some people are having the realtors fill the vacancies--- the realtor isn't going to sell the condo any time soon, so might as well help the owner get a tenant, and make at least something. I know quite a few folks who have found a place to live or someone to live in their place, via a realtor.

If you have down-payment money and the credit, you might also consider buying a condo, as the DC house market has remained more or less stable compared to the rest of the country but the condo market has tanked hard. If you can afford $1600/month you will get more bang for your buck as an owner than as a tenant.