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As has been suggested by John Hudson, it would be useful to provide an all-cap setting for Greek which removes all accents (which is standard practice). And he has suggested Titling Alternates as the feature.
It seems straightforward, except for the wrinkle of "double-glyph" characters such as "RoughAlpha-iota": I need three extra alternates to handle this situation, Alpha-Iota, Eta-Iota, and Omega-Iota, right?