The best area for trophy speedgoats would be the Red Desert. # 57, 60, 61 for a good area to see a lot of goats, look at the Cheyenne area, much of that area is private. The NE part of the state has plenty of public land and some goats too.
If you're wanting to hunt this year, there are some units that still have leftover tags - and some decent access, too
if you want to hunt speedgoats, you'll have to do a bit of crawling and sneaking - but don't worry, in most areas there are enough animals that if you blow a stalk, there will be another bunch just over the next rise!
I just got back from my elk trip to Colorado and must say that I learned quite a bit about hiking in that one trip. I researched all I could on the internet and thought I was prepared going out. For the most part I was but I want to pass on a few major things I learned that helped me drastically!
1. Pack light. I know this may sound like common sense but believe me. After reading everyone's advice on what you need to pack, chances are your pack will end up weighing more...