In England you'd be very lucky indeed to find your request anywhere, other than in areas that have 'problems' as you've already discovered. An option if you can fulfill the criteria is an Agricultural occupancy type property where somebody in your family has to be employed in agriculture in some way.
Around here in North Yorkshire where i am your ideal spot start at around £500k as its horsey country, you might get something relatively cheaper in the Yorkshire dales £3-400k or out towards the coast (North Yorks Moors) but be careful planning is a nightmare.
HTH
Mandy
