No laughing goddammit!

I used to live in the mid-atlantic so I could use the same tire for all around, daily use as well as for autocrossing (so I have gotten no compromise performance tires in the past). But I now live in Minnesota, and what's worse, my driveway is a quite steep hill!

So I need something that will get me through some snow. I now accept the fact that I will have to have 2 sets of wheels and tires, and I've chosen to have a set of wheels and tires primarily for racing and another set on my stock wheels for everyday use. I'd like something that still had pretty stiff sidewalls so they didn't feel like mudballs, but that still might have acceptable grip in snow and slush. Any ideas?