<p>“I cannot apply to MIT and Caltech since they ask for SAT scores that I don’t have.”
Both schools accept international students as freshman, so I assume they use other scores that those students can provide. I would contact the admissions offices before you write them off entirely. That said, those 2 schools are among the most intensely academic UG colleges in the world. So going there may be akin to being thrown in the deep end without a lifejacket. You have to learn to swim really quickly.</p>