Not familiar with Western SD, you might contact a local game warden for that info. Or even a nearby sporting goods store.
As far as bowhunting goats, bring all your lucky medalions, charms, and such. (lol) Two very popular strategies are sitting in a blind on a water hole, and spot and stalk using a decoy.
The first works best if you have the opportunity to put the blind up a week or so before hunting it so the goats get used to seeing it there. Not neccessary, just helps. Also, blinds on water work throughout the season, (not neccessarily opening day), and they can make you successful from dawn to dusk. That's how long you should plan to sit in one. A blind can be a hole you dig out of a cut bank with some brush stacked in front of you. doesn't have to be a Double Bull or anything.
I prefer the spot and stalk with a decoy. It's just more fun than sitting on your can all day. There are a few decent decoys out there that are light enough to carry around. I even made one from some thin insulation board a couple years ago, but you'd have to be able to paint a goat on the cutout.
Now, if by some chance you get to hunt on private land like a pivot or stubble field. locate an obvious crossing point through (under) the fence and hide yourself nearby.
One last thing, if you don't have one, get and practice with a 50 yard pin!
Good luck . . . and good eating.