I wouldn't sell the BH, or if you do make sure that everything goes with it.
Personally though, I would quickly regret it if I got rid of the BH. That little machine can get in places that many others cannot. I don't use it every day or even every week, but when I need it I am oh so glad I have it.
That BH mount is exactly like mine. When I get back over where the machine lives, I'll see if I can find the piece I made.