It takes more than just a lead/lag greater than 5% to blow out transmissions.
Being in 4 WD with very good traction, making sharp turns and having a fragile tractor are the obvious factors.
The first two I've only done when clearing snow and hitting bare dry salted patches of road, avoidable but too easy to forget in winter. Mine just hops until I either stop, get into 2WD again, or find more snow.
Kinda hard to believe that a trannie would blow out instead of the tires hopping.
Anyway, what were the factory original ag tires for this tractor ?
They're almost certainly NOT a proprietary size, bolt circle or anything much else.
From your owners manual or sales brochure can you list the tire options and their sizes ? e.g. Ag R1 size front & rear, Turf R3, Industrial R4.
Number of bolts front and rear would help - typically 6 or 8.
I might know of some ag sets for small'ish CUTs.