They don't "have" to deal Stroman, the guy is literally screaming out he wants an extension and wants to stay in Toronto. With how absolute dog s*** the rotation is with little help on the way they absolutely can sign him to a new deal. I'm very much on the side of hold out to get exactly what you want and if not just extend him.
I'm sure there is some posturing there from the Jays but I would in no way rule out an extension. Hell we're paying Grichuk $11 Million for the next 4 years and he's not even good.