I'd be amazed if the Sox went after ARod. His postseasn record is poor, he no longer has appeal as "the face of the franchise," and they don't need the attendance draw of personal record chases in the outyears, so I don't see the value to them at the asking price.
I do wonder, however, whether they might let Lowell go, and trade with Seattle for Adrian Beltre and a catcher, sending Crisp, Lester, and a good infield prospect (Lowrie?). Beltre is overpaid and doesn't get on base enough, but right-handed power is valuable, and they bid on him before. A deal with Oakland for the slick-fielding ex-slugger Eric Chavez (with Billy Beane finally getting Youkilis?) would be similar except that Chavez bats left.