I used to drive a race car rig all over the country. The FL-CA drive could not possibly be more boring.
However, given enough "goof off" time, one could stop at a large number of interesting locations "somewhat" along the way. Otherwise, if you don't have significant extra time, you are in for a trip full of "Cracker Barrels" "McDonalds" "CVS" and long, boring roads with poor scenery.
Stennis space center is worthy of a stop, it's right off I-10.
And, of course, New Orleans.
White Sands is intersting
I love the Arizona Canyons. Even just outside of Phoenix, to the NE, hiking in the Superstition mountains and canyons. (not a summertime activity)
Glamis Sand Dunes are rather interesting in the winter also. (If you like off road vehicles and dirt bikes)
Good luck