Your truck must have a 2 inch receiver that you slide the ball into, why not get a separate hitch for each ball size? I would think this would be more stable than an adjustable hitch. The hitch for my 10K trailer is a solid piece of steel that slides into the receiver (my 1-7/8 and 2 inch are hollow) and it is rated for 1,000lb tongue weight (I think if memory serves me but I was already wrong about my trailer capacity...
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Regarding load leveling I have a 2 axle trailer and when I load the tractor the trailer lifts the back of the truck up dramatically until the weight shifts forward. I marked the trailer to know how far to pull the tractor forward to put weight on the tongue but not too much weight (the truck drops about 1-2" from unloaded/disconnected resting state).
When I brought 100 landscape blocks to my brother (each weighed about 40 pounds) I assumed that because the trailer could hold 10,000lbs and the truck at the time was an F250 with 10,000 rating I could just load all the block at the front of the trailer. The truck had a definite load on the tongue and you could see that the back end was weighted down. Seemed to be OK until I started going downhill on the way to my brothers and the trailer started pushing the truck and the front end started to become unstable. Shocked me a little but I put the brake module on full for the trailer as I braked the truck and stabilized everything. Bottom line, it would be very expensive to crash your truck and trailer with the tractor on it. Don't cheap out for convenience, spend the extra and connect up safely.
My advise...
My usual equip. being towed: F150 w/ tow/haul mode, integrated anti-sway braking, 11,800 tow rating, Mid-Atlantic 10,000lb dual axle trailer with electric braking, Kubota B2710 w/ FEL and Woods BH75 backhoe.