As you have probably figured out a TV can pull more than it can haul. You will probably exceed the max cargo once you load your stuff.
Once you are loaded and underway with your "necessary gear" you will know how it pulls, the effects of cross winds, trucks passing, braking and gas milage.
A trip to the scales will show you where you stand. With luck you may be under your max cargo but probably not. However you will have firm numbers to make your decisions. I suspect there are any number of half tons a bit over weight.
Our first TV was under powered at 200 horsepower eventually we replaced it.