Highly doubt Stroman would be traded, unless the package contained enough MLB ready talent to still be competitive next year as well. Maybe you do something like Stroman, Liriano, Bautista for Verdugo, Alvarez, something, and then pick up Verlander, dunno. We don't have the pitching depth to trade Stroman or Sanchez otherwise though. There isn't much on the market this offseason either, unless you feel really good about signing Otani.
I wonder what the Dodgers would pay for Happ? He'd seem like a pretty good fit for them actually. Throw in Liriano too, who could move to the pen if necessary when Kershaw returns.
Sonny Gray seems like an obvious possibility for the Dodgers, and Verdugo and Alvarez is probably about right.