Well, given that the Sox are reportedly going to move Bradley and Betts and have no minor league outfielders ready to play at the MLB level not named Rusney, if Pedroia goes to DH, it would probably push JD to the outfield. While not ideal defensively, the Sox don't have a ton of other options right now.
I know there will be additions, but as of today, if Pedroia plays DH and Martinez plays, say, LF, is that better or worse than having Martinez at DH and Cole Sturgeon in LF?