Best I can tell that TH has a UVW of around 5300lbs and in addition to the ability to carry "TOYS" it has HUGE holding and water tanks so even if you can keep the total wt of the TV within specs I suspect you will be over your GVCWR always and maybe by a lot thus making for an overall towing experience a lot less than optimum or even satisfactory. While GVCWR might not be a "HARD" limit IMO towing near and especially over in most cases is not something I would recommended except occassionally and definitely not for days at a time.
Larry