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I think one way we may be able to test the quality of variants is with
computer analysis.  So, if we have a shuffle variant with, say, 100,000
possible permutations, we can have the computer play itself all of those
permutations, In order to find one that is playable.  

Of course, computers play Chess differently than humans, so a computer's
idea of playability may be different than a human's.  And, computers are
generally programmed to find the best move in a given position, so
translating that to playest a game may be tricky.  

Greg Strong is much better qualified to say whether this is feasable or
not.  :-)

- Sam