Well, my top three probably would not be someone else's top three. I'm not that familiar with any of the southern units. And then you being a non-resident kind of limits your choices too. The high demand areas are usually high demand for a reason. I guess it kind of depends on what type of hunt you want, whether you'll go it alone or hire a guide, whether you want to spend some time hunting or fly in, whack one, and fly out. I know you don't fit the last example but it's hard for a guy to look at success rates, days hunted and every thing else if you don't know what the situation was. If you look at nonresident hunters for sheep I think you might see a slightly higher success rate and lower number of days hunted than the resident in the same areas. But it might be the guy hired a guide who's people spent time in the unit prior to the hunter arriving.
So how's that answer for a non-answer? Not trying to be evasive. Just hard for me to recommend an area. I have my personal preferences and they are not based on anything someone else could compare to. Things like proximity to where I live, areas I know best, areas I have an emotional tie to, etc.
As for the Mormon Mountains, what are you referring to?
