One thing that could help is taking a deep breath right before saying your name, and then saying it as you exhale. On the plus side, it’s impossible to stutter if you speak as you are exhaling. It simply can’t happen. On the downside, it sounds like you are sighing in annoyance. But there are worse things... It’s a good technique that I use if there’s like one particular word that gives me a lot of trouble… I’ve never been able to make it work much more than that.