I bet the Sox go with Buchholz, Lester, Doubront, Lackey, and Dempster in their rotation.
Last year Boros tried to play hardball with Edwin Jackson and Ryan Madson, and they ended up having to settle for one year contracts to re-enter the market. I can't see him doing that with a 34 year-old Lohse, but if he does, the draft pick compensation should still scare off the Sox. I bet he ends up with the LAA, Rangers, or possibly the Guardians.