Some other unique/interesting stops could be Enterprise to see the Boll Weevil monument or Monroeville if you are a Harper Lee/To Kill a Mockingbird fan. If the timing is right, there is a Peanut Festival in Dothan and the Rattlesnake Rodeo in Opp.
In Auburn: Auburn University campus, possibly walk the arboretum and the Jule Collins Smith Museum Of Fine Arts.
Near Auburn: Downtown Opelika, the historic downtown is walkable with kitschy shops and most of the downtown has been restored. There are some beautiful antibellum houses in downtown Opelika. In Columbus, Ga. there is the Chattahoochee kayak area in downtown, the National Infantry Museum at Fort Benning and the Confederate Naval Museum. Both museums are world class.
In Montgomery, most of the downtown is historic, Old Alabama Town, The Alabama River, The National Civil Rights Museum, The First White House Of The Confederacy, The Shakespeare Festival, The churchs associated with the Civil rights Movement. Also the State Archives building houses an incredible and again world caliber museum that is free. Possibly the F. Scott and Zelda Fitzgerald museum too.
Monroeville, Al. if you are a literary fan for Harper Lee and to Kill A Mockingbird.
Infinity Space Center at LA/MS state line
NOLA: too much to mention, Google it but do try to see one of the Audobon Parks( Insectarium, Aquarium or Zoo) My favorite is the Insectarium. It is amazing how large the collection is there. The French Quarter, D-Day Museum.