Hi Dani
I am in Burwood Victoria. I see a Vascular specialist Mr Adrian Ling
http://veinarteryspecialist.com.au/about-mr-ling It's very hard to find the right Dr but if you do have TOS Dr Ling will be able to tell you. He is more thorough than any Dr I have seen with x rays and MRI/CT contrast to see exactly what's going on with all the structures not only just the veins.
Are you from Victoria?