My own guess is that the two best suitors for both Chafin and Fulmer are the Mets and Blue Jays respectively, both of whom are angling for players on the Cubs (Ian Happ, Willson Contreras) who in theory could be packaged with relievers as well.
One would hope that there would be movement whenever that unwinds, but it's still unsettling that theoretically both teams could resolve their needs without availing themselves of the Tigers BP options. Which could be used as yet another piece of evidence of Al getting played.