@Northern Safari Sheep hunting is crazy right now. My 2cents as an AB civilian:
1. How much money do you have? I don't mean that to be a dick. If you have $100k USD +, a hunt is easy to find.
2. How much do you care about burning that cash? It's possible to get skunked. If you have other commitments (family, mortgage, etc) that 6-figures can be life-changing for your bubble.
Usually what I'm seeing from some outfitter pals is their "regular joe" clients putting a deposit on a hunt, and then paying 1/5th every year. Year 5 hits, and they do the hunt. If you have deep pockets, then you can just book and go.
Alternative, if you just want to get into the mountains: Go on a ptarmigan hunt. Same terrain, same suck. Less money. Less pressure. Taxidermy bill is easy.
Other (cooler) alternative: Goat hunt, although those are starting to get crazy prices as well.
Forgot to add: Enter all the WSF Alberta and WSSBC raffles you can. I hear VPN's work well, but wouldn't know myself. Sheep Show is a ton of fun. "Less Than 1" club etc.