I'm going to offer that you might consider focusing on the popular "DYI" stoves used by a lot of backpackers.

Google "Pop can stove", "Penny Stove", "Supercat stove", "homemade alcohol stove" to get started learning about them.

These might benefit from a well designed stand, especially one that's easily made by the user. Besides added stability, some of these stoves also have another problem that could be solved with a stand. When it's cold they can be harder to light and could benefit from some insulation between them and the cold ground, maybe a way to warn the fuel too.

Let us know what you come up with!
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