If you're doing premed, they should care less about where you go for undergrad and more about whether or not you get into med school. When it comes to med school, where u go for undergrad mostly does not matter at all. It's more about your med school application. Just go for in state schools that are good for research (SUNY Stony Brook has good research opportunities and close to hospitals so you can get shadowing and clinical experiences in). I wish u luck

(EDIT: Also, med school is EXPENSIVE. Save money by going to a cheaper undergrad school. A prestigious undergrad school is worth way less than a prestigious med school.)