Which university is instate for you? Because both are extremely expensive for OOS students (and offer very little aid=.
Schreyer is one of the best Honors Colleges in the country, along with Michigan’s LSA, USC-Columbia’s Honors College, etc.
UWashington Seattle’s is a bit different. It doesn’t offer as many Honors sections/classes so you have to enjoy the large lecture system (it’s advice they officially give counselors so that there’s no mistake about it, they don’t pretend to be a “LAC in a large university setting”.)
If you have the stats for these, look into UAlabama’s Honors College and Academic Elite/Presidential scholarships, which should give you automatic full tuition if you have 1400 SAT.
Honors Colleges offer opportunities to network and do research; their classes are smaller and thus more interactive. Projects tend to be more creative (also, you’re sure everyone’s in the project and you’re not the only one doing it). They also offer perks, such as housing and priority registration. The latter is worth its weight in gold - no class at an inconvenient time, no bad professor… now you know you’ll only have classes you’re interested in and if you choose, no class before 10! 