This Run was done with a Monk.

I managed to get it down to just over 3 hours. It can clearly still be faster. I did too much menu fumbling and have to find a better time to sell the shoulders so I stop accidentally equipping them since they're not allowed. I would drop them but, the game doesn't allow that. I also got lost in a couple places early on. Getting lost in an early dungeon and doing a full explore hurts.