It's much harder to do pick-ups to get to BBS with the Fatip because you just don't get that feedback.
Thats interesting. Torquing the blade must help considerably. Others have implied much the same I think. What might take it right over the edge is a slightly narrower cap that would increase blade exposure slightly and because of that increase the feedback from the edge. Maybe try a Kai, if you get along with them.
I cant remember if I read somewhere that you'd tried a shim with it or not...