Well I tried to zerg it as best I could. That's probably about as fast as I can do it I would say. The only other things that I think could make better time is slotting +1 ki on hit, so you can abundant step more often. The other thing might be a faster way to get to the top. Apparently there is a way to get to the top of the glacier right above the exit to the top of the mountain which would cut down another minute or two.
I'm not sure how the dps of my build stacks up to other builds so others can probably do it faster but that is probably gonna be my personal best for a while. I'm assuming in a perfect run I could maybe shave off a minute or two at best. A shiradi that gets +10 ability scores twice can probably destroy that time but that would be very rare.