The four day drive time is a bit optimistic unless you really push hard. It's about 2300 miles so you are talking about 600 mile days. And that is from North Florida, add another day from South Florida. If you don't know this it is a very bad idea to exceed 60 mph when towing a TT. We've made the trip a number of times from Florida and I'd put it at 5 days each way. With stops for fuel and other reasons you can probably figure on 50 mile/hr on average traveling. So that would be 12 hour days, start at 7 AM and drive to 7 PM. You'll be exhausted on arrival.
My advice try somewhere closer. One trick I used was to start the first day of a holiday preferably a Friday holiday. That gives another day or so and a two week block is actually 16 days since you have a weekend on each end if you start your vacation on a Monday.