Hi Ibexhunter. To hunt a bighorn sheep in Wyoming you have to obtain a liscense. There are only a few allowed each year to keep them from being overhunted. There is a lottery each year to draw liscenses. Each year you apply you get a preference point. 75% of the liscenses go to those with the most preference points. I had to apply 16 years to get my liscense. Most hunts with a guide are $7500 to $9500 AFTER you obtain the liscense.
A few liscenses are auctioned each year. These usually go for in excess of $30,000 and may be over $50,000.
Some areas in Alaska for Dall sheep have liscenses that can be purchased over the counter. No draw required. A guide is required for those that do not live in Alaske. Dall sheep hunts usually seem to run $10,000 to $18,000.
Stone sheep have a limited range and right now the prices I'm seeing are in the $30,000 to $45,000 range. Those are in Canada and a guide is required.
A desert Bighorn is the hardest to draw a liscense for. A rarer species. I saw a ranch hunt about 1 1/2 years ago where they wanted $71,000 to hunt one. Boone and Crocket quality were available. Mexico has some. Last I heard about $40,000. That may of changed. At least that gives you an idea of the costs associated with the "grand slam" here in North America. Bruce