I tried a 170/60 in a 4.5" rim in the past. It pulled the tire in too much, and I had a portion of the tire I couldn't use no matter what I tried. In the long run after it was time to change it, the tire did not maintain its composure at speed & was causing a nasty tank slapper when approaching 120mph...

I can tell you I will never again try that mess.

I personally don't think anyone here has to worry about running out of tire on the street or track with any of these tires... you'll drag hard parts 1st (pegs, stand, midpipe, etc...)