Go to the NE Game and parks site at look around some. They have a page where you can look up all the WMA with photo's. It's really cool! I wouln't say the only place good for goats is the National Grasslands, but its where most go just because it's public. Like Wheatley said, during rifle season you will see lots of hunters on the public lands. Also might take a look at the CRP map the game and parks puts out.

Good luck!