Hi emullins,
Welcome to the Mattress Forum! 
Subject to confirming that any retailer or manufacturer on the list is completely transparent (see this article ) and to making sure that any mattress you are considering meets the quality/value guidelines here … the better options or possibilities I’m aware of in and around the New Orleans area are listed in post #2 here . The options in the Baton Rouge area are probably a little better than the New Orleans area.
The closest options or possibilities I’m aware of in the Gulfport/Slidell area are in post #4 here .
Some of the better options or possibilities I’m aware of in the Mobile, AL area are listed in post #365 here .
For latex, you may wish to look at:
New Orleans list:
Bedding Plus - Jamison latex
Gulfport list:
Meridian Mattress Factory may have latex options
Mobile list:
Mattress World has latex offerings.
Good Morning Mattress in Foley and Mobile – Jamison latex
J & J has some Restonic latex
Baton Rouge list:
Wholesale Mattress & Factory
Capital Bedding Company
Istrouma Mattress Factory
All American Mattress
Irwin’s Mattress Factory might have latex – call.
Phoenix