There is a local seafood joint 'The Boiling Point" specialize in seafood boil in New Iberia, about 30 min. from the city. Ridiculously cheap, simply fresh and good. Recommended by a local 10 years ago, and had revisited last year.
The prolonged cold weather this winter has delayed the crawfish crop. Scarce, small-ish, and expensive right now. Saw some last week at K-Jean's in Mid-City for $4.99/lb. A few other places have them as well, but spotty and pricey.