First post, first TT, first of many stupid questions.

You didn't say what type of sway control or WDH you have. With your weight pushing the edge of the envelope you need more than a basic WDH with friction sway control.
In addition to maxing tire pressure on the TV you need to consider one of the better WDH with integrated sway control (Equal-I-zer, Reese dual cam, Blue Ox Swaypro). You may be able to coexist with the setup for awhile that way.