My major concern with grapling arts is you can only fight one person at a time. If the BG has a few buddies with him, you had better pull out your gun. Martial arts that concentrate on strikes have the edge here as a devestating strike will drop your BG and make his buddies seriously reconsider going hand to hand.
The amount of time it takes to punch an opponent can be just as well spent breaking their arm. A grappling style can handle mutliple opponents fine, go watch some Akido exhibitions if you need proof. However, you may need to fight more defensively against multiple opponents then you would normally (keep one between you and them type of thing)