Here's the "2019 brochure specifications" for your 369BHS:
Length 39'4"
Empty weight 11547
Cargo capacity 2553
GVWR 14100
Now calculating the tongue weight at 20-25% would range 2820-3525
That is "trailer pin weight only"... you still have to add hitch weight, cargo weight in your truck and any passengers and their "stuff" to that pin weight to get a "total truck cargo weight" that you'll be adding. With 2 175 pound people, their "stuff" at 100 pounds (maps, coats, drinks, books, the firewood in the truck bed, a 2.5 gal DEF jug, plus whatever else you normally carry) then add a cooler, generator, gas for generator, tools, etc, and you can easily add 500-800 pounds of "cargo" to the truck.
So, lets figure 3000 pounds for trailer pin and hitch (minimum weight) and 500 pounds of additional people and stuff. Now we're at 3500 pounds of weight added to the truck payload....
Most 3/4 ton DIESEL trucks have a payload between 2000-2500 pounds....
NO WAY to add 3500 pounds and not be critically overloaded by 30% or more above the truck's capacity.
You'll be somewhere between impossible to find a 3/4 ton with the payload capacity and ending up with a 1 ton SRW at "bare minimum capacity".... Your trailer, if you have more than two people that travel, will be in the 1 ton dually category if you're going to do any extended travelling.
