We live about 70 miles NE of Evansville. Many years ago we decided the best route, based on weather, mountains, and driving ease, is I 69S, to I 24E, I 65S to Montgomery AL to I 85E, to US 231S bypass, to I 10. Do not go to the SW side of Montgomery to get to US 231, It's about 5 miles of stoplights about 3 blocks apart. You'll be on 4-lane all the way, but US 231 does pass through several small towns, a few quite congested at times.
If your timing gets you to Dothan in the evening, Camping World of Dothan has about 6 W&E overnight sites with a dump station. Just go inside and ask first.
2000 Winnebago Ultimate Freedom USQ40JD,
ISC 8.3 Cummins 350, Spartan MM Chassis. USA IN 1SG 11B5MX,Infantry retired;Good Sam Life member,FMCA." My fellow Americans, ask not what your country can do for you, ask what you can do for your country. John F. Kennedy