Hi GirlOfManyFaces,
I've read part of your post and I
just couldn't wait to reply.
I want to offer you my advice.
You & Your Mom are absolutely right.
Public school SUCKS!!
As an older & ever so wiser woman I can tell
you that Public school is a nightmare.
I attended way back when & it was HORRIBLE.
No matter how intelligent a child or teen is going to
a bad school in my opinion can spell disaster for a child or teen of
academic promise.
It did for me. I was neglected went to a crappy school were the kids were
no better than zoo animals. It was crazy!
It set the stage for major depression for me, that & all the chaos that was happening at home.
No I don't think your spoiled. You seem like a together young woman. Now is the time to prepare for a bright future by going to THE RIGHT SCHOOL.
Its really important!
Now today in 21st Century America public school is so much worse! Back when I went kids were bullied, lunch was stolen, or you got beat up for your lunch money even extorted to bring say 1.00 which to me was a lot of money cause I was real poor.
Now its worse. I hate it and I'm a grown up.
Okay enough on my views on public school
Possible solutions I have no idea if they will help but here goes:
1.) Reach out & contact some teen support lines in your area. Look some up on Google
2.) Is there any way you can apply for ...I don't know what the proper term is but here goes Student Aid? You know plead your case fill out the necessary forms, explain how awful it is. When it comes to your future go all out.
3.) A scholarship?
4.) Theres a national hotline for teens called Boystown don't worry they help girls too. Heard some good stuff about them. Their website is Boystown.org

That's it for now, how I know or have an idea of the Student aid was watching that movie Scent Of A Woman (which I now hate) where the young Chris O'Donell played a prep school boy attending a really Elite prep school on Aid.
I really wish you the best.
Don't fall off the deep end reach out for help. There is a lot out there on the Web for teens. And I'm confident that you can get help to fulfill your education dreams. It sounds like you've got great potential & thus willing to work hard to get what you want. That's good.
Don't want you to end up drifting through life like I had.
It all starts NOW for you.
So don't give up.
Instead REACH OUT!
I'm sure that there is some kind of solution to get you to that private school.
Also private school has its downside, mostly some not so nice girls but you can circumvent them.
Good luck!