DonV... at 20 years, you're too optimistic. According to Wyoming G&F, there are currently 1,168 non-res applicants ahead of you with 7 to 11 preference points (
www.gf.state.wy.us/downloads/pdf/TotalPreferencePoints05.pdf). It may take as long as 25 years to burn thru these applicants. Then there are 1,258 applicants with 6 points, like you. Assuming that you have average luck and draw in the middle of this group, that may take another 13 years. So you will be sheep hunting in Wyoming when you're 72!
More bad news to consider is that the applicant pool is not tending to spread evenly over all the sheep units, but rather is stacking up on the better units. I have 10 points, one off max, and ought to be able to get drawn in 6 to 7 years, based on the averages, but the time period required to draw one of the betters units, say either 3 or 5, might take twice as long.
Now, the good news is that the attrition rate, which has been very low over the past ten years, has to pick up. I'm in my mid-50's. By the time I draw, I'll probably be over 60. On my last tough sheep hunt several years ago, while humping 100+ lbs. of horns, hide and meat over several glaciers in Alaska's Wrangell-St. Elias mountains, I swore that I was done with sheep hunting... too damn old (I've killed 5 rams). The question I have to face now is whether I want to dump another $600 to $700 into WY for preference points, only to hunt as a 60+ year old for bighorns in steep ranges where, best case, I might tag a sub 170 ram. There will be a lot of guys facing that question, and not all will stay the course.
But then again... this is sheep hunting.
Hang in there, and good luck.
HornedToad