The so-called "Brooksi" or "South Florida" King is the real Florida Kingsnake and is Lampropeltis getula floridana. It is native to the southwest portion of the Florida peninsula.
What is called, by most, the "Florida" King is an intergrade between L. g. floridana and the Eastern Kingsnake; L. g. getula. This, according to the Peterson Field Guide, is properly referred to as the "Peninsula Intergrade"
Also, the Apalachicola King (aka "Goini" and "Blotched"
is also an intergrade between the same two species. I think (but I am not positive) that this is called the "Panhandle intergrade".
Do yourself a favor: By the Peterson Field Guide to (?)Eastern Reptiles and Amphibians.
What is going to get more confusing than this is the new "Pantherophis" genus name to replace "Elaphe"!
Peter Jolles
P.S. I have read all of this in that $20.00 book (which is my favorite book since I was a small child) so please don't read into this that I am a "know-it-all".