Hutchison and ERod are my two picks for Peralta/Pineda because of their profiles as long relievers (ie. Peralta is gonna fill that role, Pineda is a starter).
As you suggest, Chafin plus the roster trimming means each of the three relievers you mention (Foley, Barnes, Vest) are likely on thin ice, depending on what they do with the bench. Of those three, I'd keep Vest, but would expect that the Tigers prefer Foley given that he made the club relatively early