RE: Either Harding or Coolidge
Unfortunately, Harding’s administration was tainted by scandal and corruption (although his economic policies were correct. He got us out of what could have been a depression in 1920. Had FDR or Hoover been president then, the great depression would have started in 1920 ).
He was no more "tainted" by corruption than most presidents (only one cabinet official was convicted and Harding had no personal knowledge) including Reagan (remember arms for hostages?). Of course, neither Reagan or Harding could handle to the corrupt FDR, LBJ, Clinton, Nixon, and Truman administrations. They not only engaged in old-fashined rruption but massive abuses of power such as auditing income tax returns of opponents.