Hello. Brand new here. I've never done a 5 day trip before but I couldn't imagine not taking a stove. I use a Trangia mini set which is for one person but can work for two. It's not much bigger than a pot or about the size of a 2 person mountain house meal. It comes with a pot, a small non-stick frying pan, a small base/windshield and a burner and a pot handle that looks flimsy but works wonderfully. It is 6 inches in diameter and 2 1/2 inches thick and weighs 12 oz. You can store enough fuel in the burner for about 35 min. of heat. It burns denatured alcohol. I go through about 6 oz. per day.
I eat Oatmeal with dried fruit for breakfast (1/2 cup dry) so 2 1/2 cups oatmeal would take care of breakfast with some dried cherries or raisins. I use those rice and pasta side dishes like knorr for lunch and they don't take up a lot of room. So 5 of those plus some tortillas and peanut butter. Then 5 two person mountain house meals for dinner. Then snacks like cliff bars and little Debbie brownies (350 calories each and small) and some nuts. I could do it but I'd have to get a bigger pack. I use a small pack to carry my food for 2 days now. I'd have to take my stove. Heck I take it on day rides because stopping to make coffee is like a religion to me.
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Robert