I miss driving my wagons in the snow. With just a pair of cheap snows on the rear and good all seasons up front, they are tanks in the white stuff! Go anywhere in any amount of snow. Been driving them for years and never once got into a situation where I was stuck or needed an assist to get out. Never even had to get a push from anyone. Even plowed in up to the door handles!
I've used the cheap wintermaster ones that are of the old school, big lug, design both on the rear only and all around. Very noisy and wobbly but effective. Much better for just rears only driving. Love that set up. Have also had studded rears. Did you know they make sparks when you spin them? lol
I have also used Blizzaks and Michelin Arctic-somethings. Those are quiet and handle pretty well in the dry. I didn't like them as much on the front in the snow, as they seemed to have even less "bite" than the all seasons and would slide a lot more and pushed scary wide on me more than a few times... More of a pucker factor, for sure. So I'd pass on that route if they weren't free or damn cheap.
So, yeah... It's all in the tire.