Speaking of which is I-10 is backed up thanks to the tunnel or drivers trying to challenge the laws of physics concerning two objects trying to occupy the same place at the same time. You can get on the causeway (US 98) and follow it over the Africatown Bridge to I-165, then take I-65 South to 98 and follow it to Hattiesburg, MS to I-59, then take 49 up to I-20 and across to Vicksburg. If you want a to get a full night's rest, the Ameristar Casino campground in Vicksburg is a nice place to stop and only about $25 per night.
To continue the trip north toward Oklahoma City, follow I-20 to Shreveport, take the I-220 north and follow US 71 to Texarkana, (another nice campground is Texarkana RV Park of US 59 South (toward Houston)). We did this trip a couple weeks ago heading to Shawnee, OK. You can take back roads through OK and avoid the toll road.
Have a safe trip and great fun.
Marilyn, Tom and the 3 cats