Patty, last question first. You are not much more humid than I am, here in Mississippi. The only time we get a break from our 70-90% relative humidity is when we get cold fronts through. Some of those fronts will never make it down to Sarasota though. Regardless of the humidity, you just want to cure it where it is not in direct sunlight and can be kept dry. I cure my garlic in one of my shaded greenhouses, which by the end of May will be basically empty of plants.
There are several folks in central/southern FL that purchase my garlic, and I am sure some of those plant it. Check with
@florange,
@orchidgal,
@gardenglory, and with
@p1mkw and see if they can tell you anything about growing it in Florida.
I have read that Cuban Purple grows well in coastal areas and in Florida, but I have never grown it. You might want to plant a Creole variety(s) in any case and a few to look for is the Creole Red, Ajo Rojo, Rose de Lautrac, Labera Purple, and Pescadero Red. There are a few others but I have grown all I listed. Creole is more expensive and often really hard to find.
You would plant your garlic later than I do. Your extension service can give you advice on growing garlic and tell you its planting time.