I was thinking Les Steckel, but have to concede your choice is better.
But, more seriously, I've seen Joe Girardi's name mentioned. I don't remember what knocks there might be on him, or why the Yankees parted company with him, but if you want a retread it would seem like you could do worse. I don't think he'd be totally at odds with an analytically minded FO, but maybe that's the problem.
I had read (or thought I read that, at the time) that they didn't feel he was the manager for the younger players, that he had a preference for older veterans and wasn't good at continuing to develop the younger players.
If that's the case, I'd want consideration for him to be considered very carefully.