In reply to Max factor:
As people have already commented. You have Boulby, Stoupe Brow, Smugglers, Creek Point, Blea Wyke on the coast. These aren't slow drying, but they're not particularly quick-drying either (mainly east facing). What grades are you looking at?
Inland you have Goathland (prime venue in the font 7s - about 15 minutes from Whitby and quick drying) and glaisdale (a bit further). After this (about 20-30 minutes away) you have the stuff near Danby crag and then the whole of Blakey, with Clemmitt's Thorgill, Rosedale, The Duck Boulders, Round Crag, Camp Hill and Round Crag.
Quite a bit to go at and all quite different.