We have been on the I-59 & I-65 route a couple of times. On I-59 is a small town called Fort Payne, Al., this is where the group Alabama calls home. They do have a small museum and in the town's center are statues to the group.
Also, there is a BBQ place just about 1 mile from there that is really great BBQ. It is called "The BBQ Place". We went there in 2019 and had lunch with Jeff Cook and his wife Lisa.
Stop over is worth the time.
There is plenty of room to park in the parking lot of the museum.