Heinlein wrote this in 1956, and won a Hugo award for it. I’m not sure
just when they first started awarding the Hugo, but this must have been
one of the first Hugo winners.

Man, how times have changed.

This is a novel of imposture. A prominent politician has been kidnapped;
it’s urgent that it not be known. So an out-of-work actor with the
politician’s bone structure is dragooned (more or less) to impersonate
him–just for a few days. He’s successful, and the politician’s staff
manage to rescue him. Alas, the great man is much the worse for wear,
and the impersonation must continue….

It goes on fairly predictably from there. It’s a friendly little tale,
well-told, but I am shocked that it won a Hugo.