Disclaimer: not a SLP I feel like you are placing too much emphasis on your "personal" stuttering being neurological instead of psychological. People experience anxiety differently, and what you think of when other people mention "anxiety" might not necessarily corresponds to how you feel your version of "anxiety" (e.g., muscle tension)! That said, I also have a block-based neurological stutter and sometimes feel alienated in online or even real life stuttering communities, so I can relate. Anyway. Speech therapy is divided into fluency-shaping techniques, cognitive-behavioral therapy and other stuff like muscle relaxation (massages). By all means, try it out with an open heart. The person in front of you is 10x more important than whatever they say about "research", though. Even fluency-shaping is somewhat unscientific (to put it lightly), so take it with a pinch of salt. From what you wrote, mention to a professional (psychologist, neurologist, speech-language pathologist and other variants) to focus on more actionable, localized goals like "reducing blocks during x y z scenarios" and make sure you receive clear guidance instead of just going with the flow of what is presented to you. This requires some research on your part. Try reading about the systemic impact on stuttering in a professional setting (plenty of papers on Google Scholar or sci-hub). Please avoid popular books on stuttering, and focus on proven research. I'd personally suggest you go first after related neurological conditions like ADHD, since there might be an impact to reduce heavy blocks with medications. Finally, exercise. I guarantee you will see a clear difference on fluency with and without exercise (hypertrophy, yoga, meditation). The more you are aware of and how much you can control your muscles (chest, back, shoulders, etc.) the easier it is to manage the secondary presentations of stuttering.