There is a place on the corner of 16th St. & McDowell that might have a table or two. It used to be The Lucky Cue and definitely had billiard tables. They were recently bought out and renamed The Silverado, which was a Hispanic dance hall. That didn't work out too well, so now, the building simply has a sign that says Billiares on it, so I know it's back to being a poolroom. I'm assuming they still had the tables from their Lucky Cue days. Wouldn't hurt to give them a call.
Word to the wise: I see by your name that you might be Hispanic or Italian. This has always been a rough club, and if you are a Gringo, you'll have no problem during the day. Night time isn't the right time to be there unless you are Latino. No racism, just reality.