Ditto to the previous recommendations for riding in wirh studded tires.

However, as also stated, it does depend of the car traffic. You'd be ok on the trails and bike paths but getting to and from them on the backroads, how fast would the cars be? If they are backed up bumper to bumper, I wouldn't mind riding on the road and filtering between them. But if there's any chance of them moving as fast as you or worse, faster than you, ride as far from them as possible and keep a lookout for anybody who looks like he might be losing control.