"I will likely try for a few years to draw some great tags until I get sick of not getting drawn and then for some good tags."

Remember that most great tags will take many years to draw: more than 10 in many instances. Take Nevada's unit 161 early elk. In 2007 there were 2188 non-resident applicants for one tag.

Just remember that however bad the odds are, they're better than if you don't apply. Give yourself a good five to ten years, apply in multiple states, and your odds of getting a great tag will become significant.