We just drove Tampa-Oklahoma City in a 30' Class A towing a Jeep. No problems on I-10 but did avoid rush hour in Tallahassee, Mobile, Baton Rouge and Lafayette. Bypassed New Orleans area on I-12. Nice drive on I-49 from Lafayette to Shreveport. I-20 was OK, but I-635 Dallas bypass has major construction on north side. Definitely will avoid I-635 next time. Also, we encountered the normal heavy traffic between Dallas and Denton on I-35E. Since Lawton is your destination, you may want to check if highway 281 is your best option (goes north from I-20 to Wichita Falls, Texas, and into Oklahoma).
We had no problems finding gasoline or concerns about height, including the tunnel in downtown Mobile.
