I wouldn't go out in snow/ice, even in the car.
We have had a few accidents in the snow in the car, mostly someone else's fault and it causes a lot of hassle and expense.
Last year when it snowed we got the train or worked from home.
It just isn't worth the expense and hassle for a few days a year.
One day we did venture out and at the top of the hill we were driving on ice and it took 2 hours to get to work.
It simple isn't worth it.
Any claim you make these days (even if it's totally non-fault and your car was parked) counts against you on your insurance and even more so if you have multiple claims, so it just isn't worth it.
It can be difficult to tell when there's ice about but below zero is a pretty good indicator/
