Quoted from Baiter:
I estimate around 300, similar to CSI, 24. I saw that Keith Johnson estimated 1000, but honestly that sounds pretty high... that was about the size of the original run of Iron Man at 1100. I'm pretty sure there were as many original IM's floating around as there were BBH+CSI+24's combined, and I doubt many would disagree.
I don't have any first hand knowledge, but I assume it is more than the 300 number, and I wouldn't think Keith's estimate was too far off. Consider...
When BBH came out, it was basically just operators purchasing the machines. BBH was a known property for operators. Collectors at the time turned their nose to it and said it was terrible and they didn't want it.
The exact same thing happened with IM initially. People were up in arms that it was a stripped down AP and it was terrible with completely random magnets and no one should get them.
I heard someone say that the pair of these two games "saved" Stern due to strong operator sales. IM obviously caught on and appreciated in price enough for them to do a second run of them later to satisfy collector want. BBH, thanks to it's theme, hasn't caught on the same way. Having said that, BBH is also an absolutely amazing machine, and I think that if more collectors give it a chance, it will become a diamond in the rough. The rules are VERY similar to IM, the hunting theme is done funny enough anyone can get a kick out of it, and the layout and Buck are unique toys. I do own one myself, and I don't think I'll be letting it go any time soon.
Having said that, I also know of a number of operators that own them, sometimes multiple copies of them. I was told by an operator that it was the best earning route game they had bought in years. That was a while ago, but I assume a number of them are still out there earning some serious cash, probably more in the Northern parts of the country
Finally, I know there were multiple runs of the machine, as there are slightly different playfields to them. The easiest marker is the shotgun shells - I believe the initial run were red, while the later run (and rarer version) were yellow.
Just to put a number on it, my guess would be there are between 600-800 of them that were made. Again though, I have NO first hand knowledge, and is pure conjecture on my part.