The Ritz Carlton room is the best place to smoke in New Orleans. But consider bringing your own sticks as you'll be paying Ritz prices! Other places of note:
Dickie Brennans' Steakhouse - in the bar,
Arnoud's - Has a smoking dining room,
Galatoire's - upstairs in the bar,
Cigar Factory - watch them roll while you smoke - on Decatur Street close to Hard Rock,
Mayan Imports - uptown on Magazine street - our best cigar shop,
Carousel Bar - Monteleone Hotel,
Moon Walk - on the Mississippi - stroll and smoke!
Pat O'Brien's - on the patio.
And, finally, most of the music bars in the French Quarter allow smoking. We don't have the New York disease yet!
Have a good time and spend lots of that tourist $.