I always see this question, first you must decide how much you can afford, then decide best way to spend that money. NR elk apps to everywhere will cost nearly $1000
For sure CO, NM, Utah. Cheap and good.
Then AZ $250, WY $50. NV if you are fully aware odds of you drawing in under 10 years are extremely small, you must plan to apply for a looong time. $150 NV