Looking at the route suggested by Google maps the closest you would get could be Frodsham, some decent bouldering here, if slightly limited in volume and could still be damp from recent rain.
If you were to detour via the A50 you would be very close to Churnet, and it only adds about 20 mins to your journey (according to Google), not including the time taken to get from the A50 to Churnet and back. Good sandstone bouldering here, worth the visit.