A HENSLEY patent hitch is “the solution” (having made all other types obsolete), but the TT design is the major problem.
When talking about cross wind, this kind of statement scares the snot out of me. Why? Because somebody that needs to ask the question will believe it, buy the hitch, and get blown into oncoming traffic, and kill somebody that knows better.
You can mount TV and TT on the same frame, no side to side flex, and with same weight and surface area, the wind will still push it to the side.