Hi OP,
My suggestion would be, why not start a new thread based on your criteria and a more general idea of area? So 'where to live within half an hour's drive of the Peak District, four-bed house, budget £330,000?'
Then explain in your OP your other needs e.g shops and amenities in walking distance. And if it's important to be able to go on walks direct from home, say that - that's very different from access to the Peaks, which will inevitably be by car (or bus, or train).
That will encourage people to make suggestions based on local knowledge, that you might not have thought about.
Do it on a new thread, to attract wider knowledge.
Must it be a new build, or just a house that doesn't need any work? Those are different things.
Is it important to have countryside on your doorstep, that you can walk into direct from your home? That's quite a specific demand - access depends on local footpath provision, as well as proximity of countryside. You can live on the edge of large cities and have great local walks, parks and footpath access into countryside e.g parts of Sheffield. Or in the middle of fields with no footpaths.