[MarkEHansen]

There are a lot of posts on this forum which talk about the best way to determine whether or not you are exceeding any limits. The point of my response, below, is to encourage you to have a look so you can make a well-informed decision.

Selecting the correct combination involves more than whether or not the tow vehicle will be able to pull the load up a hill. In broad strokes, it involves the ability to pull the load without over-stressing the vehicle, being able to stop the load without over-stressing the brakes and being able to handle the load in normal as well as emergency conditions - but there are others (like weight on the tires, etc.).

For example, your TV has a max payload of 1617. This is the capacity as the truck was delivered from the factory. You have to subtract from this anything else you have added to the truck, like the trailer hitch (around 100 lbs), after-market parts, cargo, people, fuel, etc. as well as the tongue weight of the trailer.

Then there's the GCWR of 12000. Your TV's GVWR of 7500 assumes you've not loaded it past it's limits. Combine that with the GVWR of the trailer (in the case of the 240BH, that's 7000 lbs). 7500 + 7000 = 14,500 lbs. This is above the stated GCWR of the TV.

I hope this helps.