The USB version is *not* plug and play compatible with any system other than that it was designed for, currently BBH Safari.
What version of BBH are you wanting to run? The board setup varies on the version, the newer ones running on modified PCs with JAMMA interfaces, and the older ones being dedicated JAMMA boards with hard drives. For most versions of BBH, the standard "pump" shotgun will work. It just plugs into the game pcb, no special monitor setup required. It must be a CRT monitor, however.
Newer ones have new style guns, and Safari may have sensors arund the monitor.
IMHO, you're probably better off buying a used game than trying to build your own. Just the cost of a gun and the game pcb is more than a whole used machine. BBH2006 is under $750.