Go to the cheaper school. Hard stop.
It's a business decision at this point, and it's best to be as rational as possible with money.
Neither school is going to impair your ability to match into anything your heart desires. You're really splitting hairs between these two schools
What do you have in savings at the moment? Retirement accounts?
You're already older, thus limiting your earning potential. Unless you have a decently sized 401k and other retirement assets built up, you're going to be in a challenging situation once you reach attending status trying to pay for everything. You need to imagine where you'll be at when you're done with training and the responsibilities you'll have at that time - a spouse? Kids? Mortgage? Just assume right now that your loan payments are going to be more than your mortgage as you
The other thing is that, depending on what you've been doing for the last few years, you're lifestyle might far exceed that of the kid who is moving out of their fraternity house and starting in your medical school class. It's very hard to go backwards in lifestyle. You might not be as thrilled about having roommates or picking the cheaper studio apartment. And while everyone assumes they're going to spend their entire life in class, the library, or their bed, it's really not feasible to be that dedicated to your studies...particularly if you have friends in Nashville that are in more established jobs and want to go out, they will be an unanticipated expense. Hard to live the life of a pauper when your friends have disposable income.
If you do decide to go to Vandy, I think you need to consider some creative ways to offset your expense. The first option is always that you could marry rich. Alternatively consider buying a home and having roommates all 4 years that would pay off your mortgage payments and utilities. You then pocket the equity when you sell. It's possible to continue some part time work during the first two years of med school as well - I worked for Kaplan, I had friends who bartended, others who were phlebotomists prior to med school that kept doing that, anything that can potentially decrease the amount of loans you take out for living expenses.
The bottom line however, is that by just going to UVA, you'll save no matter what you do.