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Elon Musk? He's definitely a celebrity in some sense, if not an entertainer, and he at least carries the full list of adjectives you laid out.
Sure. (Though he isn't U.S. born) Or Bill Gates.
(But) I'm most interested in considering the probability of people whose primary draw as a candidate is fame they gained through something like the entertainment industry, for example. Because the skill set necessary to succeed seems to have little to do with being an effective POTUS.
Trump is still a "business man", so Lumifer is right that it's reasonable to assume he's at least a competent manager. The same could be said of Musk or Gates.