As much as you like sliding and moving the bike around, you would be good with the distanzia, Michelin Anakee, Metzeler Tourance. The Kenda and Scorpions are pretty meaty and would def. be more grip. I run the Anakees for everyday use and if I'm going off road more often, I'll be spooning a set of Dunlop D606s on.
Oh yeah I still like the DRZ, but with street tires it really isn't dual purpose. Around here I have a great opportunity for awesome onroad-offroad rides. So I still want good grip and lean on the asphalt, but also want more traction in the dirt, and specifically the mountainous gravel roads around Mortimer! Hey I just spelled mountainous and there's no red line!