Zeke,
I think the anxiety is much greater on a draw tag, like your sheep, over the super tag. Given that the draw tag has been waited on for so long and is most likely a once in a lifetime deal. I would view a super tag as found money. No body actually expects to win the tag so if you are lucky enough just enjoy it. Go have fun. Keep in mind that there is no penalty if you don't kill three animals or if the dead critters don't make book. Heck I might even make one of the tags an antelope and just go have a fun hunt with my sons. I would love to be able to wander the hills with the thought in my head, "If its brown, its down." That's just my take. We are all different. I have never really felt too much pressure while hunting. My wife and I both had 102 deer tags a couple years ago. I never chambered a round that season. I just had a great time hunting with my wife. She connected with a buck she liked and I had one of my most enjoyable seasons.
Now when I finally draw a sheep tag in Wyo, it will be a different story.