We're not talkin' this girly snow we get out here in the mid-Atlantic states or the dusting that shuts down a manly place like Texas. We're talkin' one of those North Dakota blizzards where the snow gets deep enough to bury moose testicles! One of those epic blizzards like in the movie Fargo where visibility is relative term and the temperature is so low that the snow blows like a dust storm.
So what would you want to be stuck in. Not necessarily stuck as in stuck on the side of the road buried in a snow bank stuck. More along the lines of what kinda car would you want to be driving if you found yourself in those conditions.
Me, I'd want a 4x4 mid-90's Ranger with a 4.0L V6, a suspension lift, good mud/snow tires and a cap over the bed. Inside the bed are a full set of snow chains, a couple sand bags near the tailgate and some camping gear like a cold weather sleeping bag, a small, propane heater with a 6 pack of lantern-sized bottles and some small pots for melting drinking water if necessary.
Some nice but not necessary options would be an extra fuel can, filled of course...with fuel and an aftermarket supercharger for that extra grunt to muscle through the snow.
I'd want a Ranger because they are, in my experience, as capable off-road as a Jeep but without all the uncivilizedness of a Jeep in cold weather. Plus they have plenty of room, especially in extended cab versions, to carry all the crap you might need to survive plus some luxuries like 2 extra spare tires and large trail jacks and such.