Two fundamental questions:
1) more about your truck - year, any upgrades?
2) your intended use.
Not my intent to discourage you.
My truck is a 2006 GMC 2500hd shortbed, extended cab. I could (and did) carry my 'relatively' small popup camper OK, but with noticeable sag, and some sway. Not good for my far off-road use. So I did some some extensive rear suspension upgrades and added a front locker. I personally would still not want a heavier camper on my truck.
BTW, I usually travel alone, and off road as stated.
For a camper big enough for your family, you 'might' be able to make your truck work - especially if it's a very late model. But it probably wouldn't be worth it.
You mentioned campgrounds. If your camping is going to be at campgrounds, I don't really see an advantage for a TC. You could get a lot more room in a TT or 5th wheel, and your truck could handle it as it (probably).