TL; DR: you need an international attorney and a local one. You're potentially risking large amounts of money, and your ability to travel.
In addition to having Mexican law apply, you're also facing the issue of insurance and billing. You cannot bill CMS for international stuff.
Then there is the issue of how to hospitalize someone, or notify authorities.
Then there is the issue of data security, as required by Mexico.
Then there is tax law, sales tax, VAT, and whatever else is incorporated into international business with Mexico.
Then there is the issue of being sued in Mexico. Sounds like a pain to drive down there, hire a Mexican attorney, and defend yourself.
Then there is the issue of work visas in Mexico.
Then there is issue of the international travel implications of screwing up. If you get barred from entrance into Mexico for violating their laws, does that affect your rights to travel to the EU or other places?
Then there is the issue of how your state license board would handle a complaint. Are they going to be angry if they learn you are doing this? Who knows?