I assume that such a deal would be for Scott. His early season control problems, non-trivial salary(5.7M), and imminent free agency would help keep the cost down, on top of being a solid fit as a lefty with velo to fit in the back of the pen.
The other, more speculative target to me would be Puk. He was a bit homer happy last year so you risk a period similar to what Adbert's dealing with, but you'd also have 2 arb years after this year to enjoy the fruits of your labor. The other complicating factor is that he's currently on the DL with "shoulder fatigue", which seems like a level of risk they wouldn't take for this move unless Jed felt he was getting a big bargain.