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!
Try to put your tree stand in a tree with plenty of background cover, keep the prevailing winds for that time of the year to your face, and take care of those pesky squeaks and creaks your stand may have developed while sitting in the shed. A good treestand lube can be made by heating petroleum jelly until it reaches a liquid form. Some hunters have reported success by including a cover scent in this mixture before applying it to their stands.