https://www.youtube.com/watch?v=0NMREsJzB6wHere's a video. Very sloppy play and bad map spawn, but there it is. I should have taken transmutation seal, not compression, of course.
The basic strategy is to spike down the first boss using reflexes, quicksilver, and strength, and then steamroll through another with more reflexes - then you're down to 2 bosses which will drop very quickly, and it's pretty easy to navigate with only 2 of them chasing you. Ideally you'll get WEYTWUT for maximum ease of access - PISORF and WONAFYT also work but are less effective.
Highlights: I trapped myself by accident and then got 2 consecutive dodges allowing me to kill a boss straight up. Also I miscalculated, thought I would have enough damage to two-shot a boss once I got to level 8. Turns out I was like 3 damage short. This run would have been way smoother if I'd found health potions on the ground, but I didn't even find one...
Anyway, that's the basic proof of concept. Crank damage as high as possible and you should be able to win so long as you find WEYTWUT.
EDIT: I did another run where I found WEYTWUT and cleared it only buying a Trisword and no lucky dodges.