There are various Florida state parks along Interstate 10 in the panhandle. Florida state parks are generally well kept and a good place to stay. You see the signs for the exits to take to them routinely as you drive east across the state. I can only relate personal experience with one: Falling Waters near Chipley, FL. It was nice, but the sites were challenging for our fifth wheel. As I read your signature information, you may have an easier time. It was not a big park, but contained scenery you would not generally picture for Florida.
Be sure to reserve any Florida state parks well ahead of time. You can do it on line.