Might be too far for you but we have a good BP following at Worcester Norton. 5 mins from J7, M5.
Full members have acces to the ranges at any time (well, basically daylight hours) - ideal if you just want to "make bangs & smoke". More details & membership costs on the club web site.
Sunday is club day and there's a very informal club comp. once a month which is not only great fun but a rich source of free advice for newcomers to the 'black brigade'.