In reply to ewanjp:
Atlas Mountains. Easyjet to Marrakech, haggle a taxi to Imlil and walk up to the mountain refuges. Maps available from Stanfords. We spent less than £500 for 2 of us a couple of yrs ago doing this, including 2-3 nights in Marrakeck chilling out afterwards.
Considering you have no toll roads, fuel costs etc, and accom is cheap, I'd say it's probably cheaper than the Alps, and far quieter.