My father had a Stryker 2912 with 760lb tongue weight and 7063 unladen weight (mfr ratings). He had terrible sway unless he loaded his RZR backwards in the living area. Even then he needed a friction sway bar.
If you loaded anything behind the axles it would wag the dog with a Ram 3500 drw cummins towing. Following I could watch when he hit bumps or dips and the the trailer would unload the rear axle of his truck when he loaded his RZR facing forward.
I'm willing to bet the OP can grab the hitch of his set up when hitched and pull it up without much effort.