I can't really help you except to tell you to get out and so a little bit of scouting and see what you can find. There are a couple of Arizona hunters on here but I haven't seen them in a long time and asking about a specific unit makes it even harder.
But if you get out there a couple of times and do some looking just after sun up and just before dark you might find what you are looking for.
What does "gauge" mean anyway? As used here gauge means the number of round lead balls the same diameter as the inside of the barrel (aka the bore) that it would take to weigh one pound. It takes 12 lead balls the same diameter as a 12 gauge barrel to weigh a pound. The smaller 20 gauge would require 20 balls of that barrel diameter. The larger bore 12 gauge would require 12 lead balls of the bore diameter to weigh one pound.
In general the number of pellets in a shotgun shell...