Indy did it feel unsafe?
Only when i was going downhill, trying to slow down, or turn. And sometimes when i was driving at a steady speed on flat ground. Or when the wind was blowing.
Towing a small boat with a yj, 2k rating and load was 1800-1900 pounds. Every time i was going downhill the boat would start pushing. I ended up slowing at the tops of hills so i could accelerate down, keep the jeep pulling instead of being pushed into a ditcj.
Trying to stop was the same, hit the brakes and the rear end would go where it wanted, took concentration to keep it under control. A panic stop would be jackknifed carnage.
Cross winds and the rear end would again get squirrly, and the boat has nowhere near the profile of a camper.
I ended up buying a beater 1/2 ton truck, towed without a problem.
The jk has a bit more weight, a bit longer wheelbase, but your camper has likewise plus the high profile. With brakes, sway control etc, it will be better but still wouldnt be my choice. If i couldnt change the rig,id still be looking for a popup camper to use. Solves several problems,one of the reasons i have one. Behind the f250, really dont know its back there. Although i did have a few interesting seconds last year trying to keep under control while i locked up the brakes and did several lane changes because of a suicidal deer.
It didnt matter where i went, that thing was determined to test out my winch bumper.
Good luck with the trip, go slower than you think you need to and remember that as soon as you think its towing ok and you can let your guard down, some ******* deer is going to remind you that youre wrong Pretty much my rules for towing anything with anything.