I'm making an assumption based on my projected rotation the next two weeks (in another thread) that May and Milone will be up in the next week, so Pino isn't the issue. I can see Correia being DFAd at the end of August if they can't get anyone to take him too.
But why would you wait on Meyer until he is basically AT his season innings limit to give him his highest-stress innings thus far in his career? That seems rather reckless for an arm you are protecting. And for a 3.5 week courtesy to Correia? Why not a 6-man rotation in the meantime, then?
Also, when was the last time the Twins DFA'd a player like Correia? Juan Rincon? Kubel's recent tenure here wasn't very long and his performance was worse (and he was arguably still limited by injuries). Marquis' Twins tenure was short and his performance disastrous, same for Bret Boone back in the day. Nick Blackburn was sent to the minors and hurt, but even he finished out his contract.
I guess part of this is that the Twins had good teams recently and didn't have too many of these guys, but Lew Ford, Rondell White, Joe Mays, Rick Reed, etc. were generally allowed to play out the string as health allowed.
A healthy veteran who has been with the team almost two seasons and simply has a below-average but not disastrous recent performance record? If no one else wants him, I think he plays out the string here.