Allgreave is surrounded by beautiful countryside - just look out of the front door of the pub! Popular walking destinations near to the Rose and Crown include the Dane Valley Way (pictured here), Luds Church (an amazing narrow rock gorge), Three Shires Head (where the counties of Cheshire, Staffordshire and Derbyshire meet), Wildboarclough (in its own secluded valley), Shutlingsloe (the local Matterhorn) and Croker Hill (upon which the commanding transmission tower sits).

The closest public footpaths are a 20 minute walk along the Quarnford road from the pub, at Goosetree Farm.
Turn right at Goosetree farm to follow the footpath down to Gradbach. The old Gradbach mill sits on the River Dane, midway along the Dane Valley Way.
Or turn left at Goosetree farm, and go uphill onto the wild moors.

Several walking guides have been written which include walks in this area. Here are links to a few:

The Roaches, Ramshaw Rocks, Gradbach Hill

This walk is detailed on the Walk the Hills website. It takes in the White Peak Rocks and starts and finishes at Gradbach car park. Its quite a long walk (18.5km), but could be achieved in about 6 hours.

Wildboarclough to Three Shires Head

This walk is detailed on the Walk Peak District website. It starts and finishes at Wildboarclough, and is a little over 4 miles.

Luds Church and the Roaches

This walk is detailed on the AA Walks website. It starts near Tittesworth reservoir, but may be followed from Gradbach car park, and is just under 7 miles.