In reply to Ade in Sheffield:
There is also Asturias, which is a lovely area, very green with great climbing and beautiful views. Check out the Roca Verde guidebook.
As with Lleida, it's very much the "real" Spain, tho somewhat less hot than the rest of the country. Apparently Asturias is okay then... but generally I wouldn't go to that country at that time! At least, not for climbing.