Been there, done that. A very similar bridle path on Casper Mountain beckoned a couple of us one day when I was riding the old 250 Matchless. It wasn't as rocky as this one, but it was a lot tighter because of switchbacks every few hundred yards. It was so tight that we had to drag the bikes around the switchback corners. We made it up and back down, but I never rode that one again!
I rode some bridle paths in Griffith park one day with my ex on the SR-500. Those were a piece of cake. Fairly easy, but still fun!
Bare