Boehner must realize that the pressure is on him now, as strongly as it's ever been. But has anyone gotten through his fog to explain to him that there is probably no way for him to retain the speakership after this? If he hangs tough, the republicans will almost certainly lose the house. If he does the decent thing, allowing an open vote in the House, as he should, he likely will be voted out of leadership by his ridiculous caucus. As I have commented before, I really think his best chance is to save a little face by having a discharge position get around him. It would still cost him, as Nancy Pelosi would come out looking much stronger if it succeeds, but that may be the best scenario for him.
If Boehner faces the fact that he will almost certainly not be speaker in the next congress, he just might do the right thing and allow an open vote. In order for this to happen, it may be necessary for someone to take him aside and impress this on him, while he's at his most lucid moment (whenever that might be).