If they had any sense, their criteria would be – electable to floating/centrist voters. And their shortlist would be Tugendhat, Stewart and Davidson (re the latter two, the PM can also come from the Lords – see Alec Douglas-Home as last example)
Stewart would be interesting, I like him. But any Tory that is not named Sunak stands no chance at a general election. And Even Sunak’s chances are slim.
Time for Labour to come to the rescue, have a much closer relationship with the EU, with maybe a view to rejoining if we can keep the pound. That alone will boost the markets, and put us on a more stable footing.