Hrm... I've done a lot of searching and was only able to turn up one anime convention in all of Louisiana and it takes place in December. They have a web page at
http://www.numareinocon.com/ if anyone wants to have a peek.
Other than that, if the Mr. and Mrs. Schultz don't mind driving north a bit, here are a few good options.
May 21-23, 2004 - Anime North, Toronto, Ontario
May 28-30, 2004 - Anime Mid-Atlantic, Richmond, Va.
June 26-27, 2004 - JAFAX, Allendale, Mich.
July 16-18, 2004 - Northern Anime Festival, Oshawa, Ontario
Sept. 24-26, 2004 - Anime Weekend Atlanta, Vinings, Georgia
Notice there are two in Ontario? There are actually more up here but I'm going to be busy then and I don't want to miss out on your visit if you do come up.
Gullible isn't in the dictionary.