MTR aren't know for their great wet pavement traction. I think you might want to add Cooper Discoverer AT3 XLT to the list. Their compounding is outstanding in wet weather, and tread depth is 17/32...so on par with a lot of mud terrains. I had the previous version of the AT3 in LRC and it was fantastic in the Florida rain, cleared mud well for an all-terrain in the SE mud, held its own in Appalachian Mountain rocks and did great in Vermont snow/ice. They are also really good highway travelers for an all-terrain.
I currently am running stock size Falkens, and they have also done everything asked of them well. If I were to jump up to a 285 tire I would switch (the Falkens are heavy) and go back to the Coopers.