The problem for the Sox, regarding what to do with Story, is that most of the current group are not shortstops. All these guys are really utility infielders but Sogard, Seigler, and Mead are primarily 2B-men. Kiner-Falefa has plenty of experience at SS but is more of a 2B overall. And Montesario has played as much at 3B as SS.
Realistically, the SS options are Montesario, IKF, and Story. Montesario is only 0.645 vs R pitchers and his defense at SS is not great. IKF bats right also, as does Story of course. In 12 seasons, IKF has a 0.661 career OPS. If they can get story back playing like Story, it solves a couple of problems. If Story does not come around, it is probably a platoon of Montesario and IKF, but that takes up two roster spots. Most likely, Story is added, IKF is out. If they need to add Story before Sep 1, Seigler is probably sent down.
At 2B, they need to give Mead a shot when he is ready, but I think Seigler is probably out in any case. Neither Seigler or Sogard has a whole lot of sample size, but Sogard is a better hitter, from either side of the plate.
Then to make room for Anthony, some tough decisions. Jones and White are probably out (along with Seigler) to make room for Story, Mead, and Anthony.