The Senate can, by majority vote, set up any procedures it wants for an impeachment trial. The only constitutional limitations are that the chief justice of the Supreme Court will preside over any trial, and that the ultimate vote on conviction requires a two-thirds majority to remove the president. There’s nothing, as far as I can tell, that prohibits the ultimate vote from being anonymous.
A Romney advisor went on MSNBC this morning and said that if the vote were anonymous, 30 GOP senators would vote to remove Trump. This is obviously speculative, but also highly believable (There can be little doubt that practically all of his senatorial lickspittles loath Trump from the bottom of their souls, if we assume the possession of the latter).
Yes it’s crazy, but they said Crippen was crazy didn’t they?
BTW Romney is very obviously positioning himself to be the Savior of the Republic and the Republican Party, should mere anarchy be loosed upon the world.