Or you could go to New Zealand and hike from Hobbiton to Mount Ngauruhoe (the Mount Doom from the movies) in a quarter the distance, with more varied terrain, in a country with dedicated hiking huts, and probably chain together a bunch of hiking trails along the way.
But where is your sense of adventure? Where is the thrill of death lurking around every corner? Be it hypothermia, hyperthermia, dehydration, or Mormons.