You could go the OTC approach, if so you should be able to get an OTC type tag every year in WY, MT or CO.
If you have hunted with outfitters and have a budget for higher priced tags, landowner tags in NM or CO would be hard to beat for quality, and high success. New Mexico would be hard to beat.
Personally I apply for limited entry tags in multiple states. These are all for hunts that have historically had high hunter success and high trophy quality.