yeah, larger tires with better tread are key. Are you talking getting stuck in the snow?? Because there is only so much snow that the blaster can go through. Heck, there is a limit to what 4x4 quads can go through! Right now I've got a little over a foot of snow, give or take, on the ground at my house. I can ride in the tracks taht I've made, but when I got off the beaten path, I usually get stuck.
If you still have a problem, try bringing a come-a-long with you. Or get a nicer grab bar with more room for your hands, and a bumper with more room to grab too. Blasters are way light, unless you get suctioned into mud, they're pretty easy to toss around by hand.