The units you show are in the 31 ft range. Slides and outside kitchens = weight. If your TV is not up to the job , then you have to get yourself a new TV or opt for another FP.
Even a Jayco JayFlight 26BH will roll down the road at 6500# and about 900# of hitch weight, that's w/o a slide or an outside kitchen. However, its a good FP that allows straight forward tv viewing plus enough room for a family to move about as well as interior storage.
The problem i see with towing with your TV is, you may run out of payload before you run out of towing capacity. By the time you add the hitch weight plus people, kids and all the stuff you carry in the truck you may very well be over your trucks payload and rear tire rating.
