Definitely go GO to Bristol! They have CAT III B737s- whereas BA Emb145 / Dash 8 do not........... and you might need it since it always seems to pi** with rain before / during the Badminton Horse Trials.
There is a beautiful 1300m grass airstrip at Badminton that accepts visitors during the horse trials - why not fly in? B737 with fat tyres - no problem!! (freq 123.175).