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Airhead
Kurai
First off I have zero engineering / architecture / building design experience whatsoever so take what I'm about to say as absolute pure random stranger on the Internet speculation and the furthest thing from a guide on digging up part of your house you could get.
I think that I've read that the external supporting soil runs around 45°. So as a starting point use that as a guide to the internal. So I'd work out the minimum head height needed. Then mark out where 45° from the edges down to that min height is on the ground.
That gives a rough perimeter to work out whether it's a potential goer.
Obviously before doing any work you'd want some proper advice.