Alrighty folks, I am IntegrateMeDaddy or formally KingofBread and I bring you:
Battlecube Finale - No Jumping
It is to my knowledge that after checking, no one has ever attempted this before and frankly no one ever should. It was boring, repetitive and tedious as all heck but was worth it in the end
This is my own path. It is mostly based around the lack of relevant OOB triggers anywhere near the cube itself. Most of the video is boring rolling, so here are the points where it gets better:
Do check out the video and at least those times (skip around if you don't wanna watch the whole thing), and enjoy!