First off don't hide your stuttering. You will never overcome stuttering by hiding it. You should confront stuttering flat out and try speech techniques to mitigate it(I recommend 'Gentle Speech' to you. I have introduced it in my last posts. Plz check it out). As for how to make your stuttering rapid, you yourself have figured out how to make your stuttering flash off, and yeah, I think you can try not thinking about stuttering when talking. Stuttering is indeed factored by your mentality.