I have the Dunlop Trailmax Missions on my GSA which is my daily rider, and they are lasting quite well, usually I'm pulling Kaiser in the Bushtec trailer.
About 3 or 4 times they surprised me when on the roads, the rear stepping out unexpectedly while cornering, and i wasn't being a hooligan. Just a nice, quick turn, smooth and easy, and on clean, dry pavement. Didn't think I was pushing speed or lean, but it hasn't happened in a long while.
I have seen several large sport tourers shod with dual sport tires for trips to Alaska, and they were happy with the ride. So it can be done.