Hi
Im afraid i’m not going to reply directly to your question as I don’t know the Godalming area and surrounds that well, but have you considered Caterham which is just by Reigate. Property is slightly cheaper than the areas you are looking but it is right by countryside, has good M25 access and is commutable into London.
There is a good independent school (Caterham School) which ranges from nursery to 18, and has excellent facilities and results year on year. If living in Caterham, it would also be viable to send your child(ren) to Whitgift from year 6 which is in South Croydon, but is again, a very good school.
There is also a small prep school in Caterham called Oakhyrst Grange which again consistently gets children into the surrounding independent schools.
I hope that helps a bit!
Carol