If you are really planning on regularly driving in snow and mud, Michelin makes the lugged tread XPS Traction in the 215/85R16 size, same capacity but slightly taller. I'm not sure anyone else has an all-steel commercial-grade traction tire in a size that fits. If you choose a traction tire for the rear, you would probably still want a steering tire like R250 or XPS Rib for the front.
When I upgraded from consumer all-season tires to commercial all-steel, I put on XPS Rib tires all around on my C, with the idea that I would never take the RV into winter conditions. XPS Rib is a summer tire with rubber compounds addressing durability rather than wet traction, let alone staying soft enough to deal with icy roads.
I also have a one-ton van that uses the same tire size and load rating. This one I need to take anywhere anytime, so I run all-season tires on that one (currently Michelin LTX M/S2). The way this van is typically used, I feel no need for the retreadability and heavier tread of commercial all-steel tires, so I'm OK with all-season Michelin LTX, Goodyear Wranglers, Firestone Transforce, knowing that I'll be replacing them early, i.e. when tread depths get halfway to "minimum" if going into seasons of heavy rain.
If I lived in the Great Lakes area or the Dakotas, I would probably use something like the LTX Winter year round, rather than the LTX M/S2. Although it is the same tread pattern, the rubber compound is more suitable for ice traction. At the other end of the scale, the Defender LTX has a more wear resistant tread than the LTX M/S2, with some compromises in wet traction.
Where you live, I would not compromise on wet traction. I would still intend to not be RVing in ice and snow. That's when it is time to move south.
Tom Test
Itasca Spirit 29B