Go where you will have the least amount of debt. Medical school will be loans…loans…and more loans.
You are a HS junior. Your list above is extremely top heavy.
In addition, remember, most undergrad colleges in the country are not affiliated with a medical school or hospital. Plenty of medical school students graduated from undergrad schools without Med schools or hospital affiliations.
And plenty of medical school students attended a public university in their home state.
I think you are minsinformed regarding what the “name” of your undergrad school means in terms of medical school admissions.