The right way to determine is not assume or guess.
My truck has a 7500 lbs towing capacity, but as with any truck im sure it can pull 10000 plus lbs.
But its the payload what is always the limiting factor.
Take the truck to a cat scale and get individual axle weights. Then subtract those #'s from your door sticker axle weights. This will tell you exactly what you can tow in regards to tongue weight.
Weigh with full fuel tank and all people and cargo you will camp with.
You will be surprised of the findings.
Example. My truck with me and full tank I have 1420lbs payload left. I bought a light 4700lb camper.
The TW started at 585. Just with extra battery, pots pans, plates, tools ,chairs etc etc I am at 740lbs TW.
The camper is now 5300 lbs just with basic stuff.
Thats 600 lbs. And I travel light.
Put my wife and two boys in the truck, 4 milk crates of jackpads, water sewer hoses, maybe a generator, and solar panel where do you think I am at?
Mike L ... N.J.
2006 Silverado ext cab long bed. 3:42 rear. LM7 5.3 motor. 300 hp 350 ft lbs torgue @ 4000 rpms
2018 coachmen Catalina sbx 261bh