The "toy" weight is whatever is in the garage, and biased by their location. Vs the factory limits if course.
That's why (broken record?) I keep returning to the optional overhead and side bunks. They are heavy, attached high, and right at the ramp. They serve as a pendulum. My Happijacs weigh prox to 900 lbs...all located at the extreme rear of the trailer.
I had an identical issue pulling our 31V with a 2500 LB 4x4 Chevy. It wasn't quite as bad, but no pleasure driving. I removed the overhead bed. It helped noticeably. The weight of the bed ensemble must be subtracted from the toy weight limits. Our 31V has 2900 garage capacity, but the Happijac system reduces the max to 2000 lbs.
It's also possible that the axles tires, and springs are maxxed out and cannot safely manage the dynamics of the trailer.
I'd bet the backed in RZR doesn't much affect the tongue weight. The problem is more a high center of gravity and the "pendulum" of rear located weight.
Adding weight as compensatory creates new issues...generally overloads the trailer suspension. Especially so with 2000 lb toys. Water tanks can be damaged by traveling when full.
I think the RZR backed in is loading the rear trailer axle and has minimal effect on the tongue. That's as it should be. The weight of the toy might be maxing out the trailer axle assembly? Not the best. Weights will will prove this hypothesis.
My DRW made a driving chore into a pleasure. The Chevy 2500 suspension was fitted with poly bushings, all new front bush, sector, tie rods...tires, and shocks..ad infinitum. Nothing made ant difference at all. Truck was excellent. Just not up to the 31V's needs.
I like my toy hauler. Garages are useful during rainy weather. Party on! Glad the handling bugs are worked out.
Toy haulers are 'hard' towing trailers. All have heavy tongue weight, rearward biased axles, tall exterior heights. And heavy aft loads.
If you have a friend with a dually, try it. Free diagnostics eh?
I'm repeating myself and will read henceforth.
Good luck!