I have a friend who also stutters, or, I found out he stutters after knowing him for a few months.
Apparently he uses a similar technique where he “sings” what he wants to say in a slightly higher-pitched voice when talking in a professional setting. He sounds totally normal when using it, but you’re not in doubt when he doesn’t.
I’m sure it took a lot of training to master it.
Let me sing you the song of my people: “AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA”