The area you are talking about in Surrey has 3 American Schools within close proximity of each other, TASIS in Thorpe, ACS-Cobham and ACS Egham. Because of this and the fact that there are quite a few high-tech companies in the area there are a lot of Americans and Canadians living around here.
So some good places to look at include Virginia Water, Egham, Cobham, Waybridge, Walton, Sunningdale, Ascot, Windsor, Old Windsor, Woking and other areas around these places.
BTW, it quite green and beautiful in most of these places!