The shame you feel comes from the part of you that doesn't want to 'accept' the stutter, and thereforefore fuels the negative feedback loop. Imagine you're talking to a baby, or a dog or a wall, would you feel ashamed it you stutter with them? Likely not. The trick is to take this mindset everywhere else. I'd argue that every time you try to hide your stutter, it automatically reinforces your subconscious that stutter = bad, dangerous, scary, etc. etc. and reinforces it every time you speak. And guess what? It makes things worse by evoking a "freeze" response to the "scary" situation, resulting in blocks.