<p>
I entered a random liberal arts college, likely without an engineering programming. There are some schools on the list with excellent engineering programs that are significantly less selective than Stanford or MIT (for example, Rice and Northwestern), but they still may be a reach for you. I’m surprised you didn’t do better on your math SAT since you did well on the AMC exam and are a 4.0 student in advanced math classes. Taking the SATs again might open up some opportunities.</p>