In truth (depending on potential value loss) I'd still lean towards cracking and submitting it raw. We have no way of knowing what the internal attitude at PCGS is towards CAC; they could just as easily be angry and spiteful as they could be intimidated by them. Yes, the Bean should cause them to seriously reconsider the grade - a 66+ which (by CAC definition) is "good for the grade" should be worth a serious look as a 67.
But if you're looking for a 67 where one does not yet exist - and I think that's your situation - it's probably easier for PCGS to imagine that first 67 as coming from a coin they've never seen before than being one they already had and didn't grade that way. Of course, if it's currently in a newer slab they probably have a detailed-enough record of it to know they've seen it before, and they're not likely to create new wealth in that fashion.
It's a crapshoot, however you do it.