How does my high school plan sound?

It would probably be better if you took algebra 2 over the summer instead of trig. Trig is typically included in precalc so you should take that in your first senior year.

I agree with @geros9 that your schedule seems social studies heavy, there is no need for you to take 5 social studies courses in one year(especially since many of those are considered AP Lites.)
You would be better served by first planning out the required graduation credits of your state(for public school students) and then customizing the plan with additional courses that you are interested in majoring in or studying in college.

You probably will find better information in the Homeschooling and College Forum here: http://talk.collegeconfidential.com/home-schooling-college/ from people who know more about homeschooling options