Welcome to the forum!
You are not providing enough info on truck and trailer, to get much response.
With the trailer loaded to camp,you'd probably be around 8,000#s, so tongue weight would likely be 800-1000#s. Your hitch around 100#s.
You could look at your truck loading sticker on the door, to see what you have for payload. With the tow pk, I'd think you have 3.73 gears.
It may work if you have enough payload. You don't say how many passengers. If you add more info, others will chime in.
Congrats on the new rig,
Jerry