In my opinion the General license in Wyoming is probably the most underrated elk tag in the west. Areas that get all the hype are excellent but good luck drawing a tag.
General license areas allow you to hunt a multitude of units and the majority of them are public land. Now if you are after a 350 or better bull then good luck, probably won't happen and a general license isn't for you.
Do some research, it's pretty simple really, especially with all the internet technology available today. Look for areas that the normal hunter would not go into, has north slope bedding cover, water and feed and not accessible by a road. That's elk country. Just be prepared to get one out of the woods, easier said than done.
A nonresident can draw a general license every few years and get to know an area. That's the key. Buy a new pair of boots and go wear them out, if you don't kill a good bull then you learned enough that the next time you probably will. Get the same general license the next year or two and do it again, or try a new area.
If you are striclty a trophy hunter then put in for those units, if you want to hunt elk get a General license.
My 2 cents.