I would think Bloom might focus more on the bullpen. After Bauer, there is a very steep drop off among the remaining FA pitchers. And while maybe the Sox can get a better contract than normal on someone like Jake Odorizzi, that won't make him a better pitcher. Paying him like an ace will have a similar non-effect.
But the bullpen actually has more difference makers still available. I personally would like to see 2 of Bradley, Robles and Hand. But if the Sox ended up with any of Hendriks, Kela, Rosenthal, Yates, Colome, Devenski, Peacock, Stanek, Hector Rondon or gave us a reunion with Brandon Workman, I would be fine with it. As long as the Sox still at least got one of Bradley, Robles or Hand...