In BAH you could try Diggers (the Ozzy bar) - Can't remember the hotel it's attached to but if you go to the Gold Centre mall in Government Avenue, it's just down the side road that's immedately opposite.
No decent "proper British" beer, but the singer in the resident band has a bod to die for
I've been a regular visitor to BAH since I started the new job (the one which keps me too busy to post much on PPRuNe

) and for the last 6 months the island has been pretty dead in terms of attendance at night-spots. Hopefully it'll pick up a bit before late this month when I expect to be spending weeks there