Awesome, have a great time.
Make sure you balance the trailer well. If the load is 4000 pounds, the tongue weight should not exceed 400 lbs.
I towed a 4000 lb stealth a few years ago from washington DC area to Miami behind my truck with a U haul trailer, and I think I had too much weight on the tongue (I just guessed at it) but made it ok.
That stretch after yeehaw on 60 is very desolate. And believe it or not, that stretch of the turnpike before yeehaw, is the longest highway stretch in the country without an exit or gas station, so yeehaw will be your oasis.