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!
There is one tip I have learned over the years in hunting whitetails in late season snow. Do not overlook soybeans left standing on the edges of fence rows, woods, creeks, buildings wherever it might be, this is where the deer will be while the food lasts during late season. December/January will pull deer in from some distance away to feed on the easy to get to food.
I killed one of my nicest bucks off of a very small patch of soybeans that was left after rains created a...