1200 is low for merit scholarships even at most average, not top, universities. 1400+ is probably more common. My kids look for schools with scholarships and their goal is to be above a 1400. (For example, look at Univeristy of Alabama’s website. A 1200 doesn’t earn any scholarship $$. 1210 earns a small amt, $3500/yr. A 1400 gives almost $26,000/yr. http://scholarships.ua.edu/types/out-of-state.html )
Not all schools offer scholarships. Many on your list don’t. They only offer financial aid. How they offer aid to international students may be different than how they offer aid to US citizens.