Have you looked into http://code2040.org/? I saw founder Laura Weidman Powers speak at Big Omaha a few weeks ago and was very, very impressed. It's a different, more hands-on approach, but it's fantastic.
What a sad state of affairs, when gifted students come to rely on private sponsorship in order to be educated. And that's in a first world country, now imagine a gifted student in some backwater.
Ramanujan comes to mind, how re-invented a whole pile of Mathematics simply because he had nobody to teach him, starting from a few basic text books that were given to him.
I went a "computer camp" when I was about that age. I learned a lot but also I got to meet and interact with like-minded young nerds. I really enjoyed it. Best of luck!
Great idea, but Holy Moses these programs are expensive. I hope things work out for these highly qualified kids, but is a $12K summer program the most efficient way to fund the future of these kids? Granted the Ivy Leagues are generous with financial aid once they're in college, but this seems a little onerous.