So if May does not survive the week, of which there is an outside change I feel given her recent public appearances, then I think we come to a coin flip.
1) Hammond gets the gig as PM and takes us down the softest non-Brexit, Brexit imaginable. This is not such a terrible strategy, all those UKIP voters soon went back to Labour anyway when there was a General Election. Perhaps this may do the trick, winning lots of remainers onto your 35% base would be a good effort.
2) Gove gets the job and we go Hard Brexit with the DUP. This is, um, a higher risk strategy as it involves continuing the civil war in the Establishment and finding out how much of the remoaning is bluster and how much is true. As such, he will shine as a national hero forever or be condemned to the depths of a Gordon Brown.
What is clearer by the day, is that the middle road of May is harder to achieve, not just in Brussels, but in the Cabinet too.