As mentioned - Bankshots, QBall, Riggsys, Park Av are your best bets, just depends on what side of town you are on. QBall is smoke free as well.
You mentioned one pocket, there are some guys that play on Tuesday nights at Bankshots. I don't play, I think they are decent but not great and like to gamble a little.
If you play 9-ball, Monday night $10 tourney at Qball, $10 Tuesday night tourney at Park Av (tougher competition there), $10 handicapped tourney on Thursdays at Riggsys. All double elimination, nice tourneys.
Billiard Factory is a retail store selling pool tables, dinettes, cues, accessories, etc., on University. They have 6 tables for rent as well, $5 for an hour or $10 for 2 or more hours. 2 GC V's and 2 Metro tables, Olhausen and a home-style Brunswick I never play on. plus as mentioned a 3C table.
I teach there and actually do a free monthly clinic on Wednesday nights, happens to be next Wednesday on the 9th, starts at 6pm. I teach for 30 - 40 minutes, answer questions, then walk around and help people until 7:30 - 8pm. This month covering position play, if you are interested stop on by and introduce yourself.
I'll also be out playing somewhere Tuesday and Thursday night next week, plus up at Billiard Factory around lunch pretty much each day either practicing or giving lessons. PM me if you want to get together. I don't play 1P, but the recent match between Lou and JB has inspired me so maybe we could play and you could teach me something...
Scott