When necessary to deal with the block I elongate the first sound (eg “ssssssnake”) where possible. If it isn’t possible because the first letter is a harder round like “c” I reorder or replace the words in the sentence so that I am presented with a soft sound I can elongate. That’s just one example of many strategies to pass as fluent. All of them require speaking slowly though not unnaturally so. I developed most of them teaching English in Japan where my students couldn’t tell if my pace or speaking style was weird. Also they needed me to speak slowly anyway, which I also needed. Over about nine months I developed a number of strategies for passing as fluent. Also, note that “normal” speakers have various speaking dysfunctions - though not as bad as stuttering blocks - so don’t hold yourself to a high standard. IMO Speaking is pass/fail - if you’ve communicated the idea then you pass.