How's this for an off the wall suggestion?
Start Beckett. In Game 3.
It's become pretty clear that Beckett, for whatever reason, only feels that he can be successful when pitching to Jason Varitek. Also, for whatever reason, Josh Beckett has been a far superior pitcher in Fenway Park this season. If you have to start Varitek, then you should do it in an environment where putting his bat in the lineup reduces the negative overall effect on the lineup. Also, if the Angels line up their rotation the way I expect them to, they will do it Lackey-Weaver-Kazmir-Saunders.
Pitching Beckett 3rd allows them to pitch him in an environment where he is most comfortable, to his preferred catcher, and the offense does not take as big of a hit with Tek in there against a lefty.