@Yith Further to our brief discussion at the weekend.
I thought I’d struck gold with Alderwasley Park. Basically just a huge field in the middle of nowhere. Unlikely to be very busy ever, and not even too many locals.
Parking is often an issue in these remote locations, but a quick session on Street View turned this up at one of the entrances.
See also Google review.
Well, I’m guessing that people continued to part like tools because when I got there that lay-by was full of huge sandstone boulders to make sure you absolutely cannot park. 
You could park at Holly Lane Car Park at Ambergate and walk to it through Shining Cliff Woods, but it’s a but of a trek (~2km), up hill with a bunch of gear.
The search continues…