I've thought about doing the same thing for the roof; except without the earth tubes. Compare the areas and orientations (and overhangs).
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...I should only need to let 275sqft of air through an "earth tube" to make it so the walls don't come into contact with air temps higher then 68 degrees...
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I was told there'd be no math.
Have you thought about what powers the subsystem? There'd be lots of skin friction and corners. Just distributing the airflow evenly from the end of the earth tube to each and every wall cavity looks like a headache.