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!
Elk have been killed close to roads where they could be loaded whole into the bed of a pickup. But it doesn't happen often and I'm not sure that is the experience that I long for. The type of elk hunting that I prefer requires rigorous physical exertion that can cripple someone who is not in shape. Being a college hockey player I have to be in at least fair physical condition most of the year but when one of my buddies got back from the Navy Seals he changed the way I think about physical...