I'm not a e07+ fan. For my Idaho Montana trip last summer I did about 2000 miles of dirt on the motoz tractionator. Front and rear were easily the best of road traction I have had. Surprised on how good it was on the highway as well. Plenty of paved Twisties with zero issues. If you need more tire then that you could try the rallz. Or just ride a dirt bike???
My new tenere came with the Dunlop trailmax. Have not done any soft or more difficult dirt yet. Gonna run out to north rim of grand canyon may 22. I'll report back