<p>I think OP should apply to a private universities like Rice where he would not formally be in engineering school but would be able to elect an engineering major. An 800 CR is exceptional but not nearly as important as other scores for engineering schools. Most engineering schools also require SAT Math Level II and a science test for admission.</p>
<p>OP should also consider going to an LAC like Reed or Whitman (in PNW) for a 3-2 engineering program. Both would be impressed with OP’s 800CR + 660M.</p>