... also ... Fuqua has an interesting 19 month long degree program in MS Quantitative Management that includes quite a bit of traditional MBA-sorts of classwork ... and ... some gearing towards a career in data analytics. With your PhD background, that may be a way to get into a more conventional business environment ... then ... if you need / want to ... and career opportunities can present themselves, you can get either very targeted certificate programs at uber-top-end programs (Harvard, MIT, Booth, etc.) or a PT MBA if you still think you need it.
PS -- NYU also has a MS program (I believe it's also called MS QM, like the one at Duke), but it is very (!!) different than the one at Duke (it's more geared towards young professionals with very limited business background ... so, there may be some applicability for you, depending on how much business background you've had in your recent roles).
PPS -- IMO, Carnegie Mellon has the gold standard MS Business Analytics program if you want to get into hard-core data modelling, coding, etc. to be the one who's actually doing the work wading through gigantic mounds of data, to try to figure out how to extract actionable information from the chaos.
... and ... all of these MS programs are far less expensive than an EMBA ... food for thought ... but, I like all of these options better than the two options you've listed above.
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