Since calcified stylohyoid ligaments may be a way for your body to stabilize your head/neck because of the CCI, maybe removing them will make the CCI worse?
I am in the exact same situation as you at the moment. I have calcified stylohyiod ligaments and I also think I have CCI because of a lot of dysautonomic symptoms. But sadly there is no good help for either Eagles or CCI in Sweden.