ID - online first come first serve. Buy one the day it opens. You may waste an entire day online navigating a janky system.
NM - Random
AZ - Very small chance to draw w/o points
UT - General elk and spike hunts. You’ll have to research details.
CO - There are units you can draw with 1 PP
WY - There are units you can draw with 0-2 PP.
MT - A percentage of general tags are set aside to draw with zero PP.
NV - Very tiny odds with no points.
WA - General tag, but really CO OTC is a better option.
OR - You can get an archery coastal tag if you’re up for a major challenge.
AK - Random draw, but logistics are difficult and expensive.
Without knowing if it’s archery or rifle, or if you want to gamble on a quality hunt vs guarantee opportunity, and how much time you have to hunt, it’s hard to know what to recommend. Here is one possible plan that balances quality and opportunity:
Dec - try to get the ID tag you want. If you get a high queue # or the site freezes or boots you out you have to decide if you want a less-desirable tag or pass.
Jan - If you didn’t get an ID tag, put in for WY tag random pool.
Mar - Put in for NM random pool. They’re non-refundable so you have to decide if you’re OK drawing a WY tag as well, which is also non-refundable.
Apr - Put in for MT general IF you’re bowhunting. You find out shortly if you drew. NM draw results out.
May - WY results out. If you drew WY and/or NM you can return the MT tag if you wish.
If all else fails, CO OTC.
Also, there are return lists for many states. Often it doesn’t cost you anything to get on it, but requires you to be flexible and possibly plan a trip in a short time period.
Lastly, all above is bulll/either sex options. There are cow hunt options that are easier to get than bull options in ID, UT, MT, CO, & WY