Snow tires definetly do the trick. Even with the normal wheel sizes. You just need to know what you are doing.

Last winter was incredibly harsh in Germany and the only way of transportation I had was a V8 Supercharged Jaguar, which was exactly the same tire size as we do have in the back, and of course rear-wheel drive.

Snows tires are the way to go if you dont wanna buy a second car. And for even worse conditions, get snow chains........When you drive on ice, there isent much you can do anyways....

Atleast thats just my experience