Brookings is close to DuPont Circle. You may want to live in DC instead of Virginia. Living close to a metro station, especially a walkable 20 minute distance, will greatly increase real estate costs. Driving is a nightmare here and should be avoided. Plus your cars will be dented constantly.
If you like bicycling or ebiking there are several bike routes into DC from Virginia—check out the Mount Vernon trail. Many people bike to and from work.