Just to add some clarity to the legalese here...
It isn't that complicated to have an authorized custodian of medical records. It can be fairly simple and straight forward.
I worked for a medical office for several years and was in charge of medical records. (I'm not in FL but I suspect it doesn't differ much because medical records need to be turned over in a timely manner.) During that time we became custodian of records for 2 doctors that I can recall. One passed away unexpectedly, the other one was no longer able to practice for other reasons (although unexpected, sudden). Both times, it was very simple, quick and without a lot of fanfare. (Well, except for the office staff receiving all the records. For us it was a major headache and a lot of work.) The practice of both doctors sent their patients a letter informing them that all of their records had been forwarded to our office, complete with detailed info how to contact us. Some of their patients chose to remain as patients at our practice (in which case we kept the old records), others requested that their records be transferred to another doctor they had chosen to see.
One of those Occam's Razor kind of things to me.