For me, elk hunting in AZ has a lot to do with where the water is. I stay away from waterholes by roads and try to find water or trick tanks away from people. I then get to know the area around these holes, noting bedding spots and terrain that elk are usually close to that give them advantage i.e. feeding areas with several escape routes down mountain with rapid elevation changes (steps).
It is hit or miss when it comes to the rut during archery elk here (depending on yoru area), so I spend less time using calls except cow calls which I use to cover noise mostly. Scouting is important, but more important to me is finding hunting locations off the beaten path, road hunters and weekend bikers routinely ruin hunting areas in my experience.
I have had bulls so close I could literally reach out and touch them. I haven't gotten cows that close though, they are always wary. Hunting elk has got to be the most enjoyment I have ever had hunting, and if I don't get drawn, I typically go out and spend some time chasing them around anyway.
Good luck,
Jethro