Sid, we'd love to oblige you, but you correctly describe 4 options - and none of them command majority support, either in parliament or the electorate. If one of them did, we'd be done with the whole charade already.
Now, the way British politics usually work is that where no course of action commands a majority, the government does nothing. But if they'd applied that principle here, A50 would never have been invoked. We would still be bickering internally about "how to leave" but it would be purely our problem, not something the rest of the EU needed to worry about yet. Between them, Cameron, May and BoJo managed to royally fuck that up, with assistance from the "smug rich gits" who were rubbing their greasy little paws over managing to paint the government into a corner and kick off a process that they knew was going to be a nicely profitable little catastrophe whichever way it turned out.