If SLU is going to be cheaper, it just makes sense to me to take the more portable degree at a lower price, especially if you're interested in health law. There seems to be a reasonable amount of alums outside the Midwest, including DC.
You should try contacting SLU about their Alumni Admissions Network and see if they can put you in touch with an alum in FL. Also, there are quite a few listed on Martindale-Hubbell.