Game-theory this for me please. If Theresa May backs the Steve Baker/Nicky Morgan Brexit plan C she probably wins the Brady amendment and defeats Cooper/Boles - but doing so would be based on what she believes to be a lie, since she is (probably rightly) convinced there is zero chance of EU 27 leaders agreeing on the Morgan/Baker Brexit plan.
In the process she buys another two weeks of false hope that Brexit deal looms but also massively increases risk of no-deal Brexit. Which about 20 of her ministers know and hate - so if she goes that route some or all of them quit today or at the latest in two weeks (Clark, Rudd, Gauke, Ellwood, Harrington and so on - even possibly Lidington and Hammond).
So does she today recognise that the game is up and her only hope is to enter cross-party talks on a soft Brexit deal that could get through the Commons but would destroy her party?
Or does she tie herself to the mast of Morgan/Baker, knowing it is the route to a no-deal Brexit and the probable collapse of her government?
Scylla and Charybdis does not quite capture it.