I have a Suburban with the same size rims and in the same weight class. I plowed snow for many years and the best tire for traction in snow, on highway, or other roadways is the 235R85-16 series. It is narrow enough to get the tread down onto the roadway, or driveway, or dirt road. I found this size superior to the 265r75-16 and 245r75-16 and the extra ground clearance is nice to have.
If you are heading off road, then it is a new ball game and I really do not have a good suggestion for you.
All in all, I drove a lot on unplowed roads and in deep snow getting to a couple of places I plowed and the idea you stated in the original post is the best if that is what you are going to do too.
Hope this helps
RL