Chicago White Sox
The White Sox are right there in the NL Central, and with three quality starters, a bullpen that’s improved (this past weekend not withstanding) and an improved defensive club should continue to be.
The Sox have improved offensively as well, thanks to the off-season acquisitions of Todd Frazier and Brett Lawrie.
Braun could certainly help them. Braun could DH for the club and replace Avasail Garcia. Braun could help provide some production in the middle with Frazier and Jose Abreu.
The thing is the Sox are already a right-handed dominant offense. Adam Eaton is their only true left handed hitting starter. The Sox could use more production at short, where Jimmy Rollins hasn’t done much.
Chicago appears to be trying to improve their rotation, and there may be their focus instead of adding a big bat. They could promote prospect Tim Anderson to play short at some point and could go after a cheaper left-handed bat to help balance their lineup.
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Braun could help any squad he ends up on. In the end, out of these seven clubs, I think he ends up on the Boston Red Sox. I think the Sox will attempt to bludgeon their way through the playoffs and hoping the bullpen can lock things down at the end, and Braun will add to this approach.