Well you have the dark peak area which includes The Great Ridge, Winnats Pass etc. Not too far from here is Hathersage and that gives easy access to Stannage, Higer Tor and Surprise View. Up the road is the Longshaw Estate complete with seemingly resident ice cream vans. This offers you woods and the well known Padley Gorge. You could also pull in a trip to see the falls at Lumsdale which is more towards Matlock and Tansley. With the amount of rain we've had and is forecast then Kinder Downfall may be running now too.
Big bodies of water include the Ladybower, Derwent and Howden reservoirs which are all connected. These offer you plug holes and dam walls, bridges and aquaducts.
Plenty on offer. Depends which part or parts you want to pull in.
HTH's.
David.