I've hunted whitetail deer in... (counting fingers) 8 different states that I can think of, and one thing I've learned is that everybody pretty much hunts the same, but as for what comes
after you kill one? It's kind of like barbecue. Every region has their own preferences, their own rules, and their own style, and everyone is convinced their way is the best.
I hunted with some guys down in eastern Texas who honestly believed that the faster you got the hide off of the deer, the better the meat would be. (I assume this is similar to
Art's 'Jeep' method) They would split the hide in the middle, roll some chains up in it, chain one end to a truck bumper, the other to a tree, lay some plastic out on the ground, and just shuck the hide right off of the deer like skinning a squirrel. Then they'd butcher the deer that night. They pretty much swore that any other method would result in venison that was damned-near inedible.
On the other side of the spectrum, I've seen hunters in the Carolinas who would hang a deer for
days with the hide on. I'm talking weather in the 50's and 60's, sometimes. They swear that it takes a few days for the meat to tenderize, and if you don't hang it for awhile you'll end up with meat so tough you can't eat it.
In Kentucky and West Virginia, they swear you have to cut the deer's glands off the back legs or it will ruin the meat. In Pennsylvania the folks I hunted with had never heard of such a thing. In all three states they will let one hang for a day or two, but only if the weather is pretty cold. Usually they'll skin it that night and butcher it the next day.
So what's the
correct way to do it? I guess that depends on who you ask, but you know what? It seems like they all end up with pretty damned good venison in the end.