The stock deathwing is actually a pretty good street tire.
I tried a D606 before, great traction and lasted a long time for me. It would still rail down a twisty road no problem, good enough for my riding wet traction, and I got 5-6000 miles out of mine before it was dead worn out.
I'm trying a Pirelli MT43 trials now, even better traction everywhere, rides like a magic carpet too, but unsure of how long it will last. Right now it looks like it might last 2000 miles, but I also didn't have the pressure set right at first either. I'm gonna try a second one once this one goes.