You can take the required courses for medical school applicants at almost every four year college in this country, arts conservatories excluded.
If you do end up going to medical school, it will likely cost $100,000 a year or so. New federally funded loan limits for students are $200,000 for professional schools, and that includes any loans taken for undergrad. IOW, you no longer will be able to fund medical school with federally funded student loans only.
So keep costs on mind.
As a disclaimer, we were also a calculated full pay family for undergrad, but we welcomed the merit scholarships our kids received. If your parents are willing to be full pay, please give them a big hug and a huge thank you. Some families won’t do this even if they can. It’s a wonderful gift your parents are giving you.
That being said…I would discuss costs with your parents for every college on your list. Do the net price calculators, and ask your parents if they will pay for each college on your list.
As a NMSF, you do have some lower cost options you could consider, as noted above.
I guess I’m wondering why no CA public universities are on your list. CA has a lengthy list of great public universities that are a decent cost for instate residents.
ETA…I missed your comment about the UCs applying above. You will likely have some good choices there.