In reply to yulquen:
Lots of places dry super-fast. Choose somewhere that faces the sun and catches the breeze. I've had good days at Slipstones, Almscliff, Burbage, Stanage in showery weather. Just stay away from places that are green and sheltered.
The Churnet could be an option too, for a possible staying dry - rather than drying quickly - venue. Personally I think trying to climb when it's raining is a waste of time and rather do something else, but I know some people get added satisfaction from mananging to find something, even if it's crap and still actually a bit wet.