Yeah but that depends on what is available. Can we agree there is certainly a possibility of Bradley being non-tendered, independent of whether or not welike his defensive play?
If so, the Sox might get a cheaper defense-oriented CF. Juan Lagares is the example I use the most because in no way are the Mets going to pick up his option. So we know he will be available. But there will be others, as well. Cameron Maybin is another, for example. IMO, these might be the two best defenders on the market, and neither is likely to get $10-12 mil. Even getting half of that would be the upper end of their offers.
Or maybe the sox realy make a shift. Move Betts to CF and get a cheaper RF. Kole Calhoun is one option who might be had for less. But that's a tough call. Calhoun has some impressive skills, but seems to have fallen off the last couple seasons for some reason.
Or they might decide to deal for an outfielder using someone like Barnes as trade bait, thus avoiding Barnes' arbitration. It's not like DD likes paying relievers...