I don't know if Lacy's or Buffalo's is in New Orleans city limits. Confusing since towns have been absorbed over the last two hundred years or so. A good idea to call them since different restrictions may apply. Last I knew Lacy's was nonsmoking, Buff's smoking. I can first hand highly recommend Buffalo's and have heard nothing but good about Lacy's. Somehow or another I have never went to Lacy's to see first hand.
Hu
Lacy's is the only Non Smoking pool hall in the entire area that I know of, and it is in St. Bernard Parish, in Chalmette. Buffalo's is in Elmwood, in Jefferson Parish. New Orleans city limits are within Orleans Parish, and there is only 2 pool halls in Orleans Parish that I know of. Shamrock in Mid City, which is a pretty large pool hall, but kind of a dive, and mostly for the college student crowd, and this place called, Mr C's Billiard, on the East side of New Orleans, which appears to have many nice 9 foot Gold Crown tables, but I have never visited. I read they have a $5 all day rate though.
I believe the pool rooms in Jefferson Parish (where Buffalo's is located) are probably open, because all of the bars around where I live (in River Ridge) are open.
There is also a very nice 24 hour pool hall in Kenner (which I think is nicer then Buffalo's), out near the New Orleans International airport, called Corner Pocket. That place has an all day, unlimited play for around $5 to $6 too. Very nice place, that had tournaments during regular times. Lucky Cue near by is a complete dive of a pool hall, so I would never visit that place.
Then there is also The Break Room, in Jefferson Parish, on the West Bank (across the river), which I have heard is a very nice pool hall.
The place called the "Landing Lounge" in Harvey (in Jefferson Parish) looks very nice too.
Lacy's in Chalmette has a Restaurant License, so they have been allowed under the law to remain open through most of this Pandemic, during the times when Bars were shut down.