If you want to get a feel for real southern life a century or two ago, then the New Orleans area has a good collection of plantations for you to choose from. Being on a bit of a time constraint
Goodwood Museum and Gardens : Plantations in Tallahassee
Looking for something a bit different to do in Tallahassee? I strongly recommend a visit to a plantation. I know, it was a bit of a surprise for me as well, but there are a few plantations in the Tallahassee