First, the bull pen pretty much has done the job this year. So I'm not real sure why one would choose to go that route.
But for the sake of discussion, who are you taking off the major league roster to make room to cycle through these PawSox? Right now, your choices would be Barnes, Hembree, Scott, Abad, and Boyer (I'm assuming that Kimbrel and Kelly are safe under this cycle program).
Abad and Boyer are expendable, but is changing the #6 and #7 relievers going to do much? Hembree is out of options, so you would have to release him. Scott is your lefty specialist; yeah he's had a rough last couple of outings but for the most part he has done the job this year. Barnes has been inconsistent, but are any of these guys going to better than him?
The starters have been far more of an issue.