Two things I have thought about you might have more info on Roem.
One: What are the rules of the new Conservative leadership contest?
Two: (And this is where I have a slight problem). I know it's needed for the story to work, but why precisely has Cameron re-jigged the leadership contest rules.
With Miliband it made sense. The tripartite nature of the previous system meant he managed to win, on Union endorsements despite David leading in all the other categories. While I except that the present Tory rules have been around since 98, Howard reviewed them in 2005 and decided to leave them as they were and they were the rules under which Cameron won, so I'm not certain why he would seek to change them, unless it's to A: Rig the deck in favour of his chosen successor or B: Stop Boris from winning (which he can't do while still at City Hall anyway)