The path to getting a diagnosis is not easy even if you have proof that it runs in your family. I spent years being told I was crazy for the pain I felt. Best bet is to be upfront about suspensions and see a specialist in genetic disorders they will at least be familiar enough to recognize the symptoms in you and come up with a treatment plan

Invitae.com You can start here, they have a test for all but one type of EDS.

Not sure if you’re UK or elsewhere, but in the UK you just have your rheumatologist diagnose you from high markers of connective tissue in blood tests and a physical exam :) Elsewhere you might get genetic testing, but i know there’s not testing for hyper mobile EDS yet (the most common type)