EDS hyper-mobile type here also known as hEDS and EDS III. I'm afraid I haven't found anything that takes away my pain. Oxymorphone just makes me vomit, codine does absolutely nothing, and I can't take NSAIDs because of kidney failure. A TENS unit helps a little, but I don't have the patients to us it this time of year. I have learned how to "turn off" or ignore enough of my pain to make it bearable most of the time. Many people with EDS metabolize medications different so that some meds won't work at all while other meds will work too well and some will work like there are supposed to. Good luck finding what works for you.
I have EDS, as well as, Chairi Malformation. It is not uncommonly for them to be linked. I had brain surgery a year ago, to decompress due to Chiari. As things calm down on that front I am beginning to research more on EDS and how to manage the symptoms! Happy that there are others of you on here to learn from!