I live in Az, and have all of my life. I can attest to the OP's statement that nobody really cares if I open carry here...mostly.
But there are a few places/people that
might. I open carry for the most part, but will often stick a leather western vest on as a cover garment when I go into a bank or some such. Wally-mart greeters are somewhat known to freak out at the sight of a gun, so I wear a vest, or simply conceal a smaller gun in such places.
Yeah, I've heard all the "shoot me first vest" comments, but when you've open carried as much as I have, you learn to take such things as the nonsense that they are. A leather vest goes well with the western attire I normally wear, and if folks don't mind open carry, they sure aren't going to notice a vest.
Daryl