A common thing for us Canadians. When we bought our coach it had smooth tires all round. Although they were only four years old, we replaced them to have grip tires on the back. I don't have any specific tire brand info, but I went to our Goodyear store. They offered Goodyear or Dunlop tires. I chose Dunlop. A friend of ours did the same thing using Bridgestone tires. So what you want is readily available.
The grip tires are noisy, but you can't really hear it unless you're in the back bedroom while the coach is going down the road. We haven't had a problem.
I don't know anything about chains. I don't know if our coach has any clearance to allow using them. I kind of think that if the road is so icy that chains are needed, I don't want to be out on that road with my Class A. Nice time to find a place to park for a while.
Jim & Kate
2016 Creekside 23RKS, 2014 Ram 1500 Eco Diesel
1995 Monaco Dynasty 36', 2005 Honda Pilot