One a day in Florida? Since when?
I hunted there last in '86 and they had a daily and season bag limit.
One thing I am aware of. Deer are not considered a varmint in Florida. I assume you mean a pest? They are considered a game species and are regulated by license and season.
I am not aware of any state which considers any species of deer a varmint/pest. Hunting them is regulated in all fifty states.
And, BTW, as I recall, in FL, as well as GA, the requirement for a legal deer cartridge, notwthstanding certain outright prohibitions, is 500 ft lbs of energy at 100 yds. That makes the use of the .357, for that purpose, very dependent on ammo selection. Of course, if you reload, it's no problem.