I hunt in florida frequently with a revolver,and of course my experience may not match other peoples, Ive used several calibers and revolvers I personally like the S&W 29 44 mag with either a 8 3/8 or 10 5/8" barrel the load a 310 grain lee over 21 grains of H110.
hunting with a hand gun always involves your being forced to make some compromises, a revolver with iron sites will be limited by both your eye sight and the distance between the front & rear sights. this ability to hit exactly where you want with open sights limits the effective range.
a revolver is generally going to use strait case cartridges starting with a 357 mag and dependent on the shooter preferences anywhere up to a 500 S&W , the 41-44 mags and 45 colt and 454 cassul are all very able to kill deer at 120-140 yards or so rather easily with the correct loads, most people I know have found the larger revolvers like the 445 DWSM and the 460 and 500 S&W a bit larger and heavier than ideal, but there are guys who enjoy those but it takes extensive practice and ammos much more expensive.
now if your willing to use optical sights like a scope or red dot optical sites your going to extend that range limitation but make the easy handling of a revolver noticeably less handy.
yes theres zero question that theres a few single shot break action and bolt action hand guns that will mount a scope and are more accurate , but most are at least in my opinion less handy, but also very effective IF your willing to put up with the size and weight penalty.
Ive always felt if your willing to put up with that size and weight you might as well buy and use a light carbine