"Shut up and calculate" was indeed not coined by Feynman. It was, in fact, coined by David Mermin in an essay he had written once.
The amusing thing is that Mermin himself had forgotten that he had coined it and claimed Feynman to be the source. Eventually, he looked into it and found the earliest reference to the phrase was his own essay! (with no reference to Feynman)
His book, Boojums All The Way is one of the most entertaining books about his adventures as a physicist.
(For those who do not know him, he co-wrote the standard text book on Solid State Theory).