Re Fishmode
There is a way to carry up to 40Kg and more of gear quite easily and would allow you to cover up to 25-150 miles in a day depending on the terrain and your fitness. Get a good mountain bicycle and outfit with pannier racks and bags. You won't be able to go mountaineering with the bicycle but you may be surprised just how much distance you can cover over difficult terrain in an emergency. In most cases anyway it may be easier to go around the mountain on a bicycle than attempt to go over it on foot. Think along the lines of the Japanese invasion of Malaya or the Philippines in WW2, the Vietcong on the Ho chi min Trail or how British Paratroopers used their bicycles in Arnhem.