I live in the Peak District, and have done for 12 years :-[
I have developed something of a fascination with the "blank" areas of Derbyshire, particularly the patch between the Wye Valley and the upper Dove Valley. I am convinced that there must be something under here, especially the large, Chelmorton basin at the head of Deepdale.
I am not aware of any great hydrological work having been done here, but the volume of water rising in the Wye Valley after heavy rain, is quite inspiring.
Having said that, if any (postulated) systems are as immature as those 3 or 4 miles away at Stanley Moor, then I could be barking up completely the wrong tree.