Don't know much about Unit 10. I hunt whitetails in Unit 2 on public land in the Black Hills every November. I almost always get a buck...maybe not the Godzilla, but usually a decent buck. It is one of my favorite hunts, second to elk archery in September.
That being said, the whitetail population in the Black Hills took a pretty good hit several years ago and is just starting to make a come back. This year, there should be plenty of young to medium bucks. It will take a couple more years for the age class to mature into big ones.
If you decide to go (not sure you can still get a license), you can expect good access on plenty of public land, moderate hunting pressure, fantastic scenery and a medium sized whitetail buck.
Doesn't get much better than that!