You already know this, but Rice and Vanderbilt are in a different league than Baylor.
What those two colleges give you over Baylor are multiple exit paths outside of medicine. If for some reason you don’t go to medical school, then your statistics degree from Rice or your math degree from Vanderbilt make you more marketable than a statistics degree from Baylor. Many students also end up in Economics at those two schools, which also has great career paths.
It’s important to note that far fewer students end up in medicine than those who start off as pre-med. In some cases it is because 18-year olds don’t really know the full set of opportunities that are available at places like Rice or Vanderbilt and find something else that interests them. And some find it too hard.
In a sense, the extra cost of Rice and Vanderbilt is the price of giving you options outside of medicine. Is that worth over $60k more? That’s for your family to decide.
Rice and Vanderbilt are similar in many ways. Both compete for “happiest students” award, with one or the other usually winning it. Both have excellent pre-med advising. Having visited both with my kids, my preference is Rice. It has a stunning campus and everyone from Rice always seems to be happy. And the Texas Medical Center is a huge plus for pre-med students.