You should not have any issue drawing a second season deer tag in any unit in or around the Flattops Wilderness. 4th season tag for non resident will take you about 10 years unless you can find a landowner wanting to sell a tag. Some are good for private only while others will allow you to hunt BLM. This is Colorado I am referring to above.

Montana is not a bad option. SE Montana is not as hard to draw with zero points and terrain is more forgiving.

NE Wyoming units are not hard to draw with no points either but you can not go into the general draw. You have to pony up the extra $ and apply on the special tag option.

All that being said. I have done it on foot and horse unguided and i have hunted them from the truck with a guide driving. Go guided! You only have a few short days to make it happen and getting a mule deer out of even slightly ruff terrain is not like dealing with our whitetails. They are big heavy animals.

Send me a pm if you are interested in a reasonable guided hunt in Montana.