If we are assuming the Twins will be in contention come late July, history tells us that the FO will look to add a good-not-great reliever or two, perhaps a 4th/5th starter.
What I would like them to do (based on what has happened so far this year) is add a big middle of the order bat, ideally a right-handed corner OF or 1B, allowing the Twins to have a Top 5 of Buxton, Arraez, Polanco, Correa, new bat (this assumes Arraez will DH more often than not).
Concurrently, I want them to add a bullpen alpha--someone at least as good as, but hopefully better than Rogers. This assumes solid development from Duran and Alcala to give the Twins a three-headed backend monster. If that doesn't materialize, then I want them to go get 2-3 guys not quite as good as Rogers, and go with the mix-and-match from depth approach.