They sell studable winter tires, although in many places they are illegal, for the reason you pointed out, plus they destroy the pavement.
On the up side, if you can use them, I hear you can stick to ice as if it were pavement. Though with modern winter tires, even 10" of snow isnt a major issue even for most vehicles. I have only had issues in my corolla with Gislavid winter tires when the snow was high enough to start coming up the hood and over the windshied. If i stopped I couldnt get moving forward again wthout reversing and making a running start at it.