Yeah seems unless this one at Long Marston doesnt work out its a long way to the next nearest.
Think this place is probably next closest, but again outside
http://www.j12radioraceclub.com/index.php or after that I think its Coventry, not sure if Banbury has anything, or around there, need to do a bit more research.
But close towns for me really are, Banbury, Leamington, Warwick and closest being Stratford.