The biomathematics major at Rhodes https://www.rhodes.edu/academics/majors-minors/biomathematics could be a great option for a stats-oriented premed. Memphis has a lot to offer as a city (especially given that you already like other southern cities i.e. Nashville and New Orleans), and Rhodes has a strong relationship with St. Jude’s Hospital for premed shadowing, research, etc. It would be a low-match/safety for you with good merit aid potential.