While I’m not very familiar with UW, my guess is that it is similar to UCSB. As a large public it is going to have large introductory classes, an impersonal environment, no assigned faculty advisor, etc. There is nothing that your extra money is going to buy her at UW academically.
At any large public the difference between a great college experience and a mediocre one rests on the student shoulders. Will your D sign up for tutoring that is often offered for intro classes? Will she go to office hours? Will she put in the work to get good grades? Will she look for research opportunities? Will she look for internships and volunteer work? Will she form or take part in study groups? Will she join major and career related clubs on campus?
Neither school is going to automatically provide or encourage these things. It is up to her. IMHO she can be equally successful at any large public, including these two. I don’t know what the “rankings” say for these two, but they can safely be ignored. Any college in the country can more than adequately teach undergrad bio. There may be advantages to going to an ultra-selective school such as MIT or Stanford, but I’d ask anyone who claims one of these pair is “better” than the other to explain exactly how the undergrad experience will differ. If you want a real difference in experience compared to a typical large public then a LAC would offer it, but that doesn’t seem to be on the table here.
Also, in case she doesn’t know, there is a glut of science grads as you can confirm with a little searching on the web. The degree to get a job of any importance or opportunity for advancement in the sciences is a PhD (followed by post-docs). The other option many Bio and similar majors have in mind is med school.
Ironically there is one option at UCSB that would be an incredible opportunity for anyone interested in a PhD, and that is the CCS Biology or BioChem majors. CCS is like a grad school for undergrads and if she was in it then she’d be on the fast-track for a PhD at a top program. It is easily one of the best programs available at a public university. However CCS is very competitive to get into, and also a PhD may not be her goal.