We have no issues to speak of towing our 10K TT with our 3/4 ton Chevy HD crew cab truck. We use a Reese WD hitch with integrated sway control and made sure it was properly dialed in allowing for a very comfortable towing experience. Never had any issues backing up and have become very skilled at doing so over the years. Those that complain about sway simply didn't have enough truck, didn't have hitch set correctly, TT improperly loaded with not enough tongue weight, or combination of factors above.
Longer TTs require extra wide turns to keep from jumping curbs, won't take long to figure out how much once you have towed a few times. Have always been able to find sites large enough for our rig at the federal and state parks in our neck of the woods as they always have a few spaces for the big rigs. These sites are limited, might be wise to reserve them ahead of time. Been thinking of getting a rig more suited for couples as the kids are grown and rarely go with us anymore, looking at 38' TTs and have no worries about towing that long of a rig.