Possible Clues:

• She might have a holiday at the height of it
• Hillary climbed it
• World's highest peak
• Does she get a rest right up there?
• Relax after the day before going up the mountain
• The first lady would take a holiday at the height of this
• Most serious heading off for mountain
• Highest point
• A mountain to climb? The night before, take it easy
• Most inclined to avoid peak, this one on border of 26