When I hear you say "spot and stalk", I take that to mean you "walk slowly through the woods/fields, being watchful and listening, hoping to see a deer" - is that a correct interpretation? Some folks call that still hunting, which can be confusing given that the name implies no movement.
I've killed quite a few deer while taking slow, deliberate walks around. Most of the time lately when still hunting/stalking, I use a shooting stick that allows me to have a gun rest for a steady shot, even while standing away from a tree. I will say that easily 50% of the deer I've killed while walking around were sheer luck - I just happened across a deer that was moving and didn't see/hear me, or it was far enough away in a field that I got in a position for a shot without being seen. I typically use this method when either a) I've gotten too cold and can't be still anymore, or b) I'm new to a property and have no idea of a spot to go, so I am actively scouting as I walk around.
I have probably jumped up and scared off 90% of the deer that I see while still hunting with no chance at getting a shot. Of the remaining 10%, I probably let over half of those walk because they weren't the deer I was looking for. This points back to what Poser said - it really isn't that great of a method for MOST of the terrain that we see in Tennessee. Humans have much better distance vision than whitetails, but that doesn't come into play when hunting in tight areas (less than 150-200 yards visibility) with noisy walking surfaces.
There is another reason why it's generally not the best method - by spending a lot of time moving around, you are broadcasting to the deer in the area that you are there. You are either actively scaring them off, or indirectly scaring them by way of leaving scent around an area. They will encounter that later, and then decide to steer clear (at least during daytime). In doing so, you can take a relatively large area and make it much less productive in daytime hours.
This creates a conundrum, because many folks (like myself) get wander lust and want to see what's over the next hill, especially if they have been sitting still for 3-4 hours. My dad hunts this way often, and I picked up the sometimes-bad habit from him. If you have a large area to hunt and aren't too concerned with the pressure on a certain area - then go for it. Just realize that sometimes the more fun/interesting option isn't always the best one if your goal is to be in range of a deer that isn't running for the next county.
Your best bet for seeing/killing deer is to do scouting with satellite imagery and topography maps. IDEALLY, this is done well ahead of the season, so that you aren't running everything out of the area during the active season. I like to scout for deer while squirrel hunting in October, for example.
If you want to strike a balance, try this...find an area that looks promising based off of internet scouting, and perhaps a secondary area that's reasonably close nearby. Go in and hunt the first one by sitting still in one spot with good visibility. If you must take a walk around, wait until after 9-10 AM (outside of the rut, deer movement is generally lower after then) and hunt slowly towards the second spot you identified. Especially if you are in the late season and it's cold outside, deer are more likely to be on their feet and visible...so always be ready! I have missed opportunities on many deer because I've had my rifle slung across your back. If your arms get tired of carrying your weapon "at the ready", then stop moving and rest a bit.
Spend as much time still as you are moving. Deer are very patient and known to sit still for many minutes without moving.
