Towing with 6.2l 3.23 gear ratio

Same truck, 5.3/6speed only, in the 2016 flavor and a 2020 5.3/10speed. Towed 10-14klbs many times up n over the Cascades.
You’ll have no trouble with a 7500-8klb travel trailer like you’re asking about.
Only drawback is if you have the maligned 8 speed that was only offered for a couple years, I wouldn’t want to horsehwip that trans like the 6 speed or 10 speed could handle.

I towed a 8400lb loaded trailer with the 6.2 / 8 speed w/ 3.42 with no problems whatsoever. Of all the combos I’ve had, that was one of the best. It was the best towing mileage I ever got also. Consistently 11 mpg.

^Agree. And 3.23s vs 3.42s will be minimal from the seat of the pants.

What is the GVWR of the trailer?
What is the payload rating of the truck?
What is the tow rating of the truck?
What transmission does the truck have?

Empty weight is a useless number as you won't camp empty. Assuming around 8500 ready to travel, you a hitch eight of around 1000-1200lb is quite reasonable. Add in passenger weight, cargo in the bed and any bolt on accessories and you may be over payload ratings.

If the transmission is one of the newer 8/10speed jobs, the rear end ratio isn't particularly important (assuming you aren't over the tow rating). The truck's computer will simply pick the gear that gives the overall ratio it wants...so instead of running at 2500rpm in 7th with a higher (numerical) rear end, you may run at 2500rpm in 6th with the lower rear end.

^None of that info matters unless you don’t know much about trucks and are trying to calculate it “by the numbers for the OP”.
This is how the rabbit hole gets so deep every time the same question is asked here by a different person.
Too much overthinking. It’s a heavy duty half ton with the biggest engine they offer and a trailer that is well below the tow rating of the truck and not a concern for tongue weight, as presented. And the answer would be the same for literally almost all newer half tons.

No need to make it into rocket surgery, as much as that appears to appeal to some people.

^Lol, right?
So an hour at a supercharger (and finding a supercharger in the right spot, so an hour doesn’t take longer), or half a day at a level 2 charger every 100miles?
I’d eat a bullet by 10am on the first day!!
Still great as local vehicles, ok for traveling depending where you travel, and literally bottom of the barrel for towing.