I have driven the route from Tampa to St. Louis many many times, almost exactly as you described. 75 to 24 to 57 and back. Never towing anything, but I have driven over the mountains during some wicked snowstorms. Our last drive was particularly bad when it started to snow just as I hit the mountain and it was nighttime. Not fun. However, I took my time and put my hazards on. I wasn't about to let anyone push me into going faster.
Fortunately, you won't have to worry about that and when weather is fair, the drive is not bad at all. Many truckers use that route, and there are emergency turnouts for them. Just take your time, and don't feel rushed. The truckers take their time, too.
Except for the mountain, that route should be perfectly fine for you. As long as you can avoid Atlanta during rush hour... but honestly.... just expect to take a while to get through that area. Pretty much from Marietta to Macon can be a slow drive, so just be prepared.
I am assuming you will take the Turnpike off of 75 to get to Orlando? That is a tollroad that now uses ORT (open road tolling). In other words, no toll booths, they will take a picture of your plate and send you a bill. You can avoid administrative fees by pre-registering here: https://www.tollbyplate.com/index
I don't have any suggestions for where to stay, though.