In reply to Rich2002
Outside the national park, but Saint bees head north is gorgeous on a nice day, also some sport climbing on the crags behind. The main descent to the boulders is a little steep (some fixed rope) which may be a faff with a dog, not sure about the descent further north.
Carrock fell is also great, if hard on the skin! But it can get a little midgey so you'd want a day with a nice breeze for a visit.