Also, In Wyoming you can apply for a "Special" tag and have approximately a 100% better chance at drawing a tag. These special tags will cost you twice the amount of a regular tag.
When I said a tag will take 1 to 5 years to draw I was talking about trophy hunts. There are many hunts in the state you can draw with 0 points. With a special tag you may be able to draw good unit with 0 to 3 points.
I personally would suggest applying for a point, and buying an over the counter tag. That way in a few years when you are more experienced you can hunt the "trophy" deer you dream of.
Good Luck