Assuming you are a competent driver of a car in snow, the Class C is no different, except that you need more space to stop. We've driven through deep drifts and on 4" thick ice. Not that we wanted to..... but weather happens. The nice thing about RVs is that they're tall, and if driving slightly below the speed limit feels right due to conditions, you can't see the impatient idiot behind you flipping you off. And if you arent comfortable driving under the conditions, pull into a parking lot and wait for conditions to improve.
Lots of people use their RVs for winter vacations in snow country.