One of the problems you have with melting snow is that the white stuff is such a good insulater that the container has been known to burn through. It's also very expensive in terms of fuel. One of the best ways to melt snow is to take a headnet, fill it with snow, hang up close to your fire.place a container underneath it. Snow melts. Drips into container. You drink or pour into insulated flask for later use.
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I don't do dumb & helpless.