I think with careful planning you could minimize the amount of cooking you'd need to do, so you wouldn't be burdened with a lot of fuel. Take something like an MSR Pocket Rocket ($40), which weighs only three ounces. An eight-ounce canister burns full-tilt for an hour, and if you were prudent you probably could make one last three to four days. Figure three to four canisters per leg (you will, of course, be picking up supplies en route), and you've got maybe two pounds committed, plus a light pot. Well worth it, in my view.
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