I saw a documentary about Great Ormond Street Hospital once but that it was so difficult to get into... well, of course they don't mention that part.
Ali,
I wish you the very best in finding something that works. If muscle relaxants won't work, then what? Are you really sure the only thing left is Botox?
From what I've heard not everyone is happy with the NHS, but I don't know that much about the system in the UK, only that the NHS has a sort of a bad rep, as in: limited and bad health care, or am I wrong in supposing that?
I have to say... It's not easy for any of us, but in your situation (being 14) it's even harder and you are handling it all so very maturely!