I don't know what the source of the information was, but I read in a chat yesterday that the Cubs have said they would play him as an OF as well as a pitcher. Not sure if that's as a bullpen pitcher or as an SP, but if the Cubs are willing to let him play wherever he wants, whenever he wants, they should be a strong contender. Extraordinary recent success, extraordinary future potential, major market, excellent management, etc. We may not be able to offer the cultural comforts of a place like Seattle, and we may not have the mythos of the Yankees, but the Cubs can position very well for the majority of the questions asked by Otani's "RFP," for lack of a better term.
From the Cubs view, I think that could actually make a ton of sense. Cubs may not be very deep or strong in the outfield. Heyward can't hit, and we don't really know how much Schwarber can hit (and we know he fields kinda badly); so adding another weapon option to the OF conglomerate could be really beneficial to the Cubs. It's not like the Cubs wouldn't have plenty of AB's to share, if Ohtani deserved them, and within whatever constraints pitching allowed.
Still, the AL/DH makes so much more sense. Signing with an AL team doesn't mean he can't play OF, so your "Baseball Jesus" emphasis doesn't preclude signing AL and playing OF , within the constraints that pitching allows. But there might be many days where the constraints of pitching does NOT allow outfielding, but DOES allow hitting. On days when he's not pitching and his pitching-arm needs rest, he can still DH.