Was there anyone after Coolidge?
Well wikipedia doesn’t provide much info but let me look there
Cal’s successor was Channing Cox “Mr. Cox was noted for advancing progressive labor legislation “
Then Alvan Fuller, “As governor, Fuller faced a significant budget deficit that required initiatives to reduce expenditures and downsize government operations.” That’s a maybe.
Frank Allen, no idea.
How was Saltonstall?
I’ve not definitively found a particular Governor that could fit that pattern, but I don’t have enough info on some. Even in the 1946 election, a “pushback” ostensibly against the liberal Dems, the one-term GOPer who won, Robert Bradford, was a left-winger. So perhaps going back to the ‘20s would be required to find a non-liberal or non-”moderate” GOPer Governor.