@TheWorldWarrior You being a Medical Student, I would really love to hear more of your insight.
Medical Student no longer; for I have graduated!
When I was graduating HS a little over 7-8 years ago college decisions were super important [like they aren't now haha]. I didn't come from a super well off family that could afford to pay off 30-40,000 a year in tuition + room and board at a private institution so picking a low cost option was a must. However, within that low cost, the Super Highly selective schools e.g. Harvard, Yale, Princeton, MIT, Upenn, Columbia [even cornell but whatever] were OK with the fam. since our income would qualify me for reduced tuition or even a free ride at some of these schools, not to mention the opportunities that would be there [though there is some debate, as many students of these schools are from the wealthy social class]. I didn't get in; it was sad. I ended up going to a public university on scholarship and payed nothing for undergraduate school. Best decision ever. Where you go for undergrad doesn't matter so much; sure the location matters as your local opportunities are dictated by that. I was in NYC so there was plenty: tons of hospitals, clinics, underserved, broad range of cultures etc.
IDK much about your state school, but if you've toured it, interacted with students and like its atmosphere then go for it. If you get into Them Awesome Schools, and 1. you're super rich 2. you're super poor [and get that low tuition or free ride] i'd totally go. Or just go if you get in cause that's what i'd have done regardless.
That being said I assume a lot of your family and friends are around where your state school is/a closer drive than somewhere else. Having family close by is a real life saver; and you'll be having that college experience with the comfort that your loved ones are relatively close by in case you need them [instead of just skype]. If you want to go to grad school/med school [which you may] then save money now and use it for that. Go public. or be super poor and go to Harvard.
This is all an opinion and i don't really have data to back this up [IDK if the colleges have changed their policies on reduced/free tuition since I applied either] but I hope this helped in some way. By going to a public school instead of several hundred thousand in debt, i'll be in about 150,000 AFTER [U.S.]med school and an accelerated MPH. Not bad.
edit: let's not forget about interest.