The roads to Coburn and Cherry run are usually accessible within a few days after a snowfall. It's not a bad idea to carry chains in case you get stuck, but you won't have to drive very far on a snowy road to access either.
The road to Poe Paddy is a different story. That road is often treacherous for the entire winter season, even if there has been limited snowfall in other areas. I've learned that lesson the hard way.