If you'd prefer to stick to the I20-I49-I10 route (which takes you through Shreveport, Alexandria, & Baton Rouge), be prepared for some traffic as you hit Baton Rouge.
Not sure of your departure times, but I'd try to avoid BR at rush hour, especially the 3-6pm drive time.
Also, if you come through BR, hop on I-12 which will take you north of New Orleans. It will rejoin with I-10 and you can continue on until FL.
I have to concur with Nebsky. Lots of pasture, woods & farmland along most of I-49. Billboards have been prohibited along most of this stretch as well. So unless you enjoy peaceful agrarian landscapes, this part of the trip will be less than exciting.