If archery is on the list, consider Hunt Code ANT-2-170. I've drawn it a few times and there is a ton of public land. It has decent draw odds. I last had it in 2015, when we filmed the episode at the link below. If that buck is still alive, he would be a good one. If you draw, I'll give you the coordinates of where to find him.
[video=youtube_share;EDpN5ZdHhco]https://youtu.be/EDpN5ZdHhco?list=PLLdxutimd-JvVnHxn1GoeJry96xYOX55n[/video]
I've also hunted Unit 31, which has even better archery draw odds. Lots and lots of antelope there, though the public land is a bit harder to navigate.