I have made that tow a number of times from east TN, and a couple of times from Gulf Shores.
All of the advice you’ve gotten is good.
My list:
Spare tire (or 2)
Jack for trailer axle (I use a floor jack)
Battery powered 1/2” impact wrench with socket for lug nuts
Spare hubs with pre-greased bearings
Grease gun (I use the compact one) and spare tube of grease
Battery powered tire inflator - same brand and battery as impact wrench
IR thermometer
Rags and hand cleaner (easy to forget, and you will need it)
Everything except the spare tire(s) and the floor jack fit in a bucket with lid. I had a kitty litter bucket that was rectangular, and easier to pack than a round one. Pack it so it does not rattle, and where you can get to it quickly. Keep the IR gun handy in the console, and use it every time you stop. The wheels with brakes will be hotter, since you just stopped, and the wheels to the sun side will be hotter, by 5 -10 degrees in harsh sunlight