Got the Yoke in the mail last week, haven't done anything but measure so far, and don't plan on installing until putting some good miles on the Brain this year.
Brain shock + yoke, eye to eye = 255mm
Brain shock, travel = 49mm
Brain shock + yoke, at bottom out = 206mm
At bottom out, there's an 8mm gap from the seat stay bridge to the seat tube. With potential for compressing bottom-out bumpers and frame/pivot/etc compliance, I wouldn't want to go much closer.
AliX yoke = 60mm
Recommended shocks = 200x51mm or 200x57mm
210 shock + AliX yoke, eye to eye = 261mm
51mm travel at bottom out = 210mm
57mm travel at bottom out = 203mm
I was using a measuring square, as parallel to the frame as I could tell, so it may not be the most accurate. If my measurements were perfect, going to the 57mm shock would bring the seat stay clearance down from 8mm to ~5mm, but I'm sure there's some inaccuracy there. I think it's at least close enough to say that a 210mm eye-to-eye shock will raise the rear end by ~10mm, the 51mm travel shock will bottom out a bit higher in travel than the Brain (but have slightly more travel), and the 57mm travel shock will bottom out a bit lower in travel than the Brain (and have ~15mm more travel). I would assume the BikeYoke version keeps top-out height the same as the Brain, but the shorter shock option reduces travel, and the longer shock option matches factory travel.
Raising the rear end by ~10mm will also steepen the HA and STA, so could be a good candidate for a 110 or 120mm fork.