Good luck with your search. I have some friends who live in that area and it’s very hard finding bigger family property as there just isn’t much around as I expect you are finding. They are wanting to move up from a 3 bed to a 4 bed and have been looking for over a year with no joy. They have just started looking at more modern properties – there are quite a lot in all of those villages and suddenly they seem to have more options. I know it’s not what you ideally want but think about it! p.s we moved from London to near Winchester and have bought a brand new house – we never ever thought we would do that as we’ve always lived in period places and it’s just fantastic.