Many of us are towing at or slightly past our payload limits. I am towing a 25 ft. Aistream with a Tundra using an Equalizer hitch. The hitch weight comes in at just about 840 lbs with the WD connected. That alone takes up about half of my payload limit.
As long as you are close, you have a good WD setup, your TV tires are up to the job, the brakes on the trailer are adjusted properly and you drive sensibly, I doubt that you will have any problems.
The big hitch you purchased will serve you well but it is heavy. When you decide on your next trailer you will have to reassess your TV.