The Speaker vote is a vote of the full house...and there is no rule that says you must vote for your party, and in fact, you can vote for people not even in the House.
The only way to beat Boehner with 16 votes was the Pelosi scenario I’ve described a couple times in this thread.
Well, in retrospect a show of rebellion couldn’t have hurt. Conservatives wouldn’t be any worse off than they are now as regards Boner’s treatment of them.