Definitely visit Avery Island and the Tabasco factory.
In New Iberia:
Shadows-on-the-Teche
One of the few homes to survive the back and forth of the Confederate and Union armies in 1862 and 1863 was the well-known Shadows-on-the-Teche in New Iberia. It served as headquarters for Union officers, and suffered the usual depredations of hungry troops in search of food, drink, and souvenirs of Dixie. The site offers a nuanced interpretation of the antebellum, Civil War and post-bellum eras. 317 E. Main St., New Iberia, 337-369-6446
www.shadowsontheteche.org
Lots of history in Baton Rouge 1.5 hours away.
North of Baton Rouge in Jackson LA is Port Hudson State Historic Site. 1.5 hours from Lafayette if you want to drive.
Lonny & Diane
2004 Country Coach Allure 33' "Big Blue"
Towing 2008 Chev Colorado 4x4
Semper Fi