I thought of another Barbara suggestion- Bay. it's really unique & simple & modern...kind of far from Barbara, but somehow works imo!
As for fn ideas I would love some more info about your style. I like:
What it rules out for me are word names, place names, nature names, any names with a hippie-ish vibe (I almost suggested Serena, but even that seemed too hippie-ish with Garnet), color names, virtue names, anything that sounds like it could be describing a garnet. Unless that's what you're into :)