I used to live in your area and now I am in the NW corner. You get a little snow and if you intend to plow it with the tractor, you'll need chains with the turf tires. Chains in mud have a tendency to plug up unless you buy the style as used on log skidders and they're not cheap. This is my personal observation with chains on R-1 tires of my old tractor. You can check out this web site for prices,
www.tirechains.com. They were the lowest price I could find. I picked up a set and they are fine. Not cheaply made. They might even be near you and you wouldn't have to pay shipping. Bob S. advised that turf tires are softer which is correct but by Titan tire's web site,
www.titan-intl.com, front turf-8.5" wide, R4-8.4" wide; rear turf-14" wide, R-4-15.3"wide. The load carrying is also higher with R-4, about 75% more, and if you intend to do loader and maybe BH work with it, the R-4 would be better. I have R-4 on my CK30HST. When the ground is wet, you can't help but to make impressions with 3100# of tractor. Ruts if it's muddy and very soft. When it dries up, no marks at all. But as Tim said, run over it numerous times in the same place and the grass will brown up. If you're going to get into some good mud, the R-4 will plug up. Another learning experience from having R-1 on my old tractor. You advised mud and loose dirt. With the front end and the rear diff locked, you should be OK, but how much mud is mud.
My suggestion is the R-4. A good all around tire but will make markes in soft ground and will plug in heavy mud. The other alternative; a friend had turf tires on his and then bought extra rims and AG tires. He switches them as his work changes. I know it's extra money but maybe something to think about in the future and help your decision at original purchase time.
Good luck on the tires and I think you'll love the tractor.