Sorry to lumber you chaps once more but I need some more expert advice and research tips from your good selves.
Basically, 'The Badminton Arms' at Coalpit Heath in Bristol need a new pictorial sign to replace the rather drab lettered one that swings at present. So of course Youngie dives in with the "No problem squire!" quote to the bosses "I'll knock you up a lovely Heraldic Coat of Arms sign!"

Only I cant find a reference anywhere. Surely there is a Lord Badminton somewhere? An Earl, a Duke whatever? But no, nothing.
As Badminton is a small little village i doubt there are any municipal type arms either.
I know the Duke of Beaufort owns the Badminton House estate (I've already done a Beaufort Arms sign for the Wadworth pub in Cheltenham) but that seems a bit of a cop out!

Any ideas/help/advice gratefully accepted as ever.