Currently there are 3 tuition free med schools in the US: WashU, NYU and Cleveland. But those are not likely acceptances.
Edit: There are a lot of doctors in my family. The easiest transition from undergrad to med school among us was going to a big public university, getting summer science research work, then getting letters of rec from university faculty to go to that school’s med school. One of us successfully applied to ONE med school early decision this way. Others failed to get into med school the first time around - having come from Ivy League schools and they carried heavy, heavy loans despite going into sub specialty careers. I f you think you’ll be doing primary care or non-procedure related internal medicine specialties, save money on undergrad. The name of your undergrad school has little influence on where you get into med school. It’s all about grades, MCAT and recommendations.