In case TNSC isn't enough for you, Ms. Heather Lake passes along some tips for discrete diurnal drinking: 18 sneaky ways to drink in public. For women, it's even easier.
One place where discretion just doesn't matter is NOLA (Mardi Gras, or not.) Even the po-po seem to get in the act.
"You don't have to remind me,
I smell like a skunk,
Excuse me baby but,
(hicup) I'm drunk."