It’s great that you aspire to a more competitive undergrad, for all sorts of reasons, but keep in mind that for premed, GPA is very important. So you don’t want to get in over your head if med school is a top priority.
That’s why advice shifts when you say in some threads that you want to major in business or finance, and then shift here to premed. Business is a far more flexible field as far as undergrad is concerned, and an area where networking and interpersonal skills might mean a lot more than GPA.
If you want both, then you need to focus on a college that provides a strong premed foundation and enough flexibility to allow you to complete all needed coursework.
Yes – UW would be fine. The family member I mentioned was a lit major at UW for undergrad.
The problem is that I don’t believe a UK college would afford that type of flexibility – I think most British colleges expect students to be focused almost entirely on what their major is. They don’t generally have general ed or core requirements so while studying closely related subjects probably wouldn’t be a problem, they probably aren’t set up to accommodate a student who wants to pick up pre-med requirements while majoring in econ or something similar.
Probably a better plan for an American student who wants to study business/ finance / econ in the UK would be to simply get their degree in their chosen major, and then do a post-bac year in the US to pick up the pre-med requirements – especially given the issues mentioned by @WayOutWestMom
But it sounds like you don’t have any particular reason to study in the UK anyway, except for being given poor advice on another thread about your chances at admission with less-than-ideal high school GPA. Just because you probably won’t get into Harvard or Stanford doesn’t mean you have to leave the country for your education – you just have to set your sights on one of the hundreds of excellent US colleges where admission is much more likely.