I've landed 31 inch Bushwheels on a snow covered lake, with upwards of 18 inches of snow. That snow was super light, fluffy, interior Alaska -30 F type snow. And, we'd been out there earlier in the day in a Helicopter. I would NEVER land in unknown snow conditions on tires.
And, frankly, I think smaller tires are probably better in most snow conditions than larger tires, unless there is a crust.
My advice: Don't even think about it, unless you have some way to verify depth and consistency of snow beforehand.
There are several reasons some smart person designed the first set of aircraft skis......

.
MTV