I have been butchering my own deer ( and about 3 or 4 of my buddies deer) for about 20 years now. As many others have stated, after you get the hang of it you will not have alot of hair to deal with. But a few years ago I came up with the ultimate solution to removing hair. I was inspired by our cat, and I will never use any other method.
Now I just lick the hair off. It works great and really fulfills the primal hunting urges and makes the hunt so much more complete. After some trial and error, I will pass along the best tip for success. Take your time and go slow, and, most important, by all means, only do a quarter of the deer at a time. The first time I did it I got a little rambunctious and took me about 3 days to get the whole hairball out of my throat!!
Seriously now, what little hair is left, I also just run the propane torch over it quickly and it pretty much vanishes in thin air.