Not from FL, but whitetails tend to do the same thing everywhere. Typically, once it gets to be hunting season, deer will bed down in the inaccessible thick stuff, or swamps all day long and come out at night to feed in the open oaks, etc. Well before daylight, they'll begin leaving the food and heading into the bedding areas, so if you can sneak in between the bed and feeding areas and be set up for the first minutes of legal shooting time, then you might intercept a big one coming in to bed. Otherwise, once they get bedded in, it pretty much takes something or someone to go into those thick places and scare them out and get them moving around. Sometimes though, on nice days, deer will come out naturally during the day to feed, especially around mid-day and afternoon, but these will usually be younger, smaller, less experienced deer. I also like being near a water source, like a small clean flowing stream or near the head of a creek. Because deer like to come out and get water throughout the day too.
Stalking is a very challenging way to hunt deer, especially with a bow. They usually hear and see you coming and take off well before you see them. The easiest and most successful way is to hunt is set-up an elevated stand off to the side and downwind of a trail or natural funnel, then be absolutely still and silent and wait. Deer tend to scan the ground level, so if you elevate yourself above their line of sight, then movements (such as getting up and drawing your bow) will be easier to do without being noticed.
Deer have radar dishes for earlobes and can hear a mouse fart 200 yards away when they scan those things around. So don't even breathe heavily and certainly don't talk to yourself even in whisper. Rustling potato chip bags are out of the question. They also have the nose of a bloodhound and are constantly checking the air currents for odors. Though their eyesight is nowhere near as good as humans, they look for movement. Movement is very easy to spot in the woods for both animals and humans alike, that's why it is important to be absolutely still. A deer can be standing right in front of you, looking at you, but if you don't twitch a muscle and don't make a sound, they won't know what you are -- just some strange figure that suddenly showed up in their living room. They'll stomp their hoof, do head bobs at you to try to make you move, and maybe even wheeze, but if you stay absolutely motionless (and are downwind), they will lose their curiosity after a while and begin to let their guard down again.
But always remember, you are in their house, and a big, smart buck, like the one everybody wants, will easily notice things that seem out of place. They don't get old and magnificent by accident.