Pretty sure John Kasich could have any job in the Trump administration he wanted...up to and including VP (would have been a better choice than Pence).  Alas, just as both of our avoid-conflict-at-all-costs Senators, he was scared away by the siren calls of the PC crowd.

He blew his chance to make an impact on the national stage.  Too bad.  Likely would have helped moderate some of Trumps agenda in other areas as well.