I'm fairly certain that the new president would have to actually act unconstitutionally for a case like this to be entertained. The mere election of one whom you don't trust will act within the bounds of the Constitution is not, in itself, illegal.
That's part of the argument in my amicus brief. I'm waiting to post it until the Whig Party finishes voting on whether or not to endorse. Simfan seemingly doesn't have
quite the sense of urgency or drama that I do (not necessarily a bad thing, don't get me wrong) and he called for a twenty-four-hour vote throughout this calendar day.