FWIW, Mia, my brother (now 47) graduated early from high school (graduated at 15, just before turning 16 in June) and enrolled at MIT [he had previously been grade-skipped]. He is a mathematical genius (perhaps the best math talent I have ever met; and the best math student that his gifted teacher had in 30 years of teaching gifted students county-wide). He also has Aspergers, although he has never been formally diagnosed (40 years ago, you were just a "quirky eccentric" kid, not an Aspergers kid).
He found his niche there, and flourished through a combination of mostly graduate level math classes as well as the regular MIT-level science classes [physics, chemistry, etc]. He ended up going to graduate school in math afterwards.
I think it ended up being a good fit for him, and certainly he would have gotten nothing out of high school. That said, while he is a bit quirky, he was in excellent physical and mental health. I think it really depends on what sort of physical and mental health issues you have. It is difficult to take on the added complexity and stress of living on your own if you have significant issues, and you should not underestimate that (as I'm sure your parents don't). There is a fine line between appropriate concern and overprotectiveness for parents, but often the students themselves have a hard time recognizing their own limitations -- not academically but emotionally.
Good luck. I hope you find something that works for you. I agree with the previous poster that you should seek out some more advanced challenges/work in the physics department at the local university as a temporizing plan. That might work out perfectly for you, and improve your situation dramatically.
