I offer a different approach. The problem with “name” comes from your association between your name and your personality as a stutterer. With time it became solid. So this particular phenomena is mostly psychological. So my approach is the following: ACTING!!! It’s well known phenomena that when a stutterer is acting or imagined as somebody who doesn’t stutter it comes out much easier, sometimes completely fluently. If you never tried it I urge you to try. You will be amazed… I know it is natural: you can’t act all the time. But as a temporary measure it works, especially at the beginning of the conversation when the “blocks’ are mostly occurring.