Or Jean Lafitte National park on the road to Lafitte. You can rent canoe right there. But you can also find hills, waterfalls, white water and clear, clean sandy bottomed creeks where you can search for rocks and fossils. There will be a catfish cooking contest at 11AM on Saturday and a catfish eating contest at 1PM on Sunday. Sat and 10AM to 9PM Sun.
Admission is free.
They don't want you to reach out and touch the alligators, but I bet you could. You can even pack a moonlight picnic on the three hour trip if you like. Call Mr. Denny and find out rates and when the next moonlight cruise is scheduled. I'd like to suggest a MUST SEE place when you're in New Orleans. Definitely not for the faint of heart.