Nebraska Atv Tires

What is the largest rear tire size could put in my yukon atv 150 Eton to help push and go through the snow?

I have a Eton Yukon 150 atv. This is a 2WD, but I bought a plow to push snow. I realize that not much press, but I live in Nebraska so it does not get much snow. I will also put a sandbag on the rear grille to make it heavier. What are the most snow or mud tires could put in the back without damaging the automatic transmission? I need something big and has a good tread for snow. (I'm also reserving for tire chains rear) What is the largest tire I can get without damaging the transmission? I would appreciate your response.

leave the stock tires – Otherwise the debt will have to be changed.

atv riding in Nebraska Republican Valley Riders potato race