The ground clearance for the base is 8.4" so I'd assume that the BB is close to 10" based on comparing it to a the base Wrangler which is 9.4" I believe. The base Wrangler has 245 tires vs 255 vs. the BB.
This is all off the top of my head, from reading about tire sizes, so it's probably not totally accurate. The bottom line is, the BB has some decent ground clearance