BB height is an interesting conversation. But!! Look at the frame geometry spec sheets. Larger bicycles generally have longer cranks. But the company generally does not adjust BB height. Touring bicycles tend to have lower BB height. But even with 180 cranks there should be no issue. I'll corner much faster on my road bicycle than a touring bicycle with any kind of load. I don't pedal through really tight corners, problem solved!!
I don't know anything about mountain bicycles on a trail with big roots and big rocks.