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Yeah... this is personally one design fault with the FM936, I think the BB drop is 5 mm too much. I'm 75kg an I have to run the shock at 250psi ish too for 10% sag and to avoid too much pedal strike with 170mm cranks. The benefit is that the downhills feel amazing. It could also be the FOX DPS shock isn't designed for this bike and it needs to be stiffer at the top of the stroke..
I wonder how easy it would be to machine a new rocker link that would raise the bb.

Maybe you need some volume spacers, increasing the progressivity a bit should get better support at top stroke.