Update on Street Lights Billiards Academy, membership is now $175 a month but it’s worth every bit of it.Pup--I live in N. Virginia so I'm mostly familiar with the places on the VA side of the river. There are three places I know well, have played APA in them: Continental in Rosslyn (closest to DC); Fast Eddies (Revolution) in Fairfax; and the Cue Club in Annandale. All are the bar and restaurant variety, but have 9 footers and are decent enough for league play and capable players.
You might be interested in a new (opened in the past year or so) place--Street Lights Billiards Academy in Springfield. It's for members only at $150/month, but is a real billiards hall. It hosts pro players for clinics (van Boening, Strickland, Varner) and expos and I think hosts TAP and BCA. It's open 24/7 to members, but again, for a price.
All of these places require something of a drive but a lot of players from DC play there.
Hope this helps.