Good on you.
The only snow commuting I've ever bothered to do was using my tiny little pit bike back when I still had it. It weighs about nine ounces and has a seat height comparable to most library footstools, so you can just ride with your feet out, plenty of throttle throwing a constant roost behind you, and go everywhere absolutely sideways. It's basically impossible to bite it because even if you dump the bike you can just stand up. It falls over, but you don't.
That's probably not the most efficient nor quietest way to get anywhere but it worked, and damned if it wasn't a hoot.