I wouldn't be surprised if Bowman is DFA'd. There's a decent chance that he doesn't get claimed, because he is making more than the minimum as soon as he was recalled (IIRC). With no options remaining, he can't be sent to AAA by a claiming team without going through the DFA process.
Finally, there's a decent chance the Twins won't need him if he would be claimed by someone else, so maybe it's worth the risk to DFA him.