In-state California will be your best economic choice. At the University of Washington, you would probably be in the running for a Purple and Gold Scholarship, which are awarded to OOS US students and have been as high as $7,500 to $9,000 per year in recent years.
If you apply to UW, I suggest you also apply to the Honors Program. http://depts.washington.edu/uwhonors/apply/freshman/faq/
Based on your excellent academic record, as long as you continue to apply yourself to your studies, you should not be too worried about gaining eventual admission to the engineering major of your choice if you are not directly admitted as a freshman. Good luck!