Treasure Chest Casino in Kenner, LA has tournaments on Mondays, and a Ladies event on Wednesdays. These are listed on the Upcoming Tournaments calendar.
The Treasure Chest tournament is a good one though they take out state taxes and make you sign all sorts of tax papers if you win. I actually finished 1st place just yesterday in it. I cleared $900 after paying $60 in taxes and a $40 tip to the dealers. Its interesting how some casinos in Louisiana take out taxes and make you fill out all sorts of paperwork and others pay the full amount in cash and hardly ask who you are.