Without studded tires I don't see how it's possible on ice. Snow, I feel like as long as it's not transitioning surfaces (ex: asphalt->snow or snowy dirt->snowy asphalt) I might be able to figure it out.

I should clarify, that coldest time I went was still a beautiful clear day and it warmed up later.

Only time I was truly miserable was when it was about 40F, on top of a mountain, and started raining unexpectedly (so no waterproof liner). I went back to the cabin as quick as I could and took hot bath.