I'm sure you'll be able to find some access, even on private ground you have to pay a trespass fee for. You should be able to get a shot at a goat within 3 days of hunting.
Unless there are no goats in that region, assuming it's goat country, even if it's all private ground, aside from being world class goat country that's booked up solid years in advance, you should be able to find access.
You'll probably learn a lot this year about access etc.. and perhaps in the future learn a better area.
Can always post on craigslist-Cheyanne, WY section looking for access. or call cabelas, etc...
good luck.