Is your GPA weighted or unweighted? If it is unweighted, UW should be a statistical safety/low match as an instate applicant (both SAT and GPA are around the 75th percentile). If it is weighted, it would be more like a match. UW’s overall acceptance rate was around 45% last year, with 62.7% for instate and 39% for OOS/internationals.
If it interests you, you might consider applying to Washington’s Honors Program:
http://depts.washington.edu/uwhonors/apply/freshman/faq/
Good luck!