My wife has a PhD in stats. She recommends Rice. Their statistics program does a lot of work with Baylor COM and their department chair will be next year’s president of the American Statistical Assoc.
Vandy has its own med school and is also a fine choice. I assume you’d want to do a biostats focused undergrad with the pre-med core.
Rice and Baylor have specific statistical science departments. Vandy has a data science major and a strong math program.
All three are in prime areas for Christian activities. I found Rice Chi Alpha that looks like it has potential. Baylor will of course have a larger percentage of the student body attending mid-week or Sunday services. Maybe 20%?