I've started trying something recently with blocks that I can't believe I've not tried earlier. I don't know if this will help, but try splitting the word in two. Get as far as you can with the first syllable, even if it's just barely making out the sound and then quickly continue as if the word started from the second syllable. It doesn't hide the stutter but may help to improve fluency and allow you to keep moving as long as the second syllable is not a blocker. I hope things improve anyway!