I would be wary of going to high school unless you absolutely feel you need to do so.
Just an anecdote. A school social worker contacted me as a home school parent to advise at a high school conference. The student was in April of his Junior year. He was very bright (smarter than his teachers, and not shy about showing it). The teachers gave him grades that varied according to how much they felt like punishing him. He had enough Cs and Ds to put him in the bottom half of his class. I advised him and his parents that he should drop out of school and apply as a home schooler. His testing was very strong (SATs and SAT IIs).
He dropped out, taking a couple of courses under a program for high schoolers at the University of Chicago. He ended up going to Amherst College in Massachusetts. His guidance counselor later told me that his high school had already determined never to give him a high school diploma.
It seems that you have learned very well on your own. In my experience (2 applicants so far in my family), schools will respect your testing to compare you to your schooled peers. Maybe even more so because you have done what you have on your own initiative.
The only caveat is that my kids have been interested in applying to private colleges rather than publics, which tend to have more bureaucratic rules.