Washington (like Cal, Michigan, Wisconsin, Illinois, Texas, Minnesota, North Carolina, etc.) is strong across a wide range of subjects:
http://publicuniversityhonors.com/rankings-academic-departments-private-elites-vs-publics/
http://www.stat.tamu.edu/~jnewton/nrc_rankings/nrc1.html#TOP60
Might be worth looking into, particularly its Honors Program: