You can get an Arizona CCW completely online and out of state. There used to be a marksmanship requirement, but not anymore. If you're just looking for a permit, it can't get much easier than this one. The biggest problem is Arizona doesn't have the best reciprocity due to having lower requirements for the permit. Actually, I think the reason why Nevada removed us from their reciprocity list was the fact that you can do the class online now. But what's the point in having stricter requirements when you don't even need a permit to carry in AZ?
Not endorsing this company as I don't know anything about them one way or another, but they offer an online/self study course that meets AZ's requirements.
http://www.azccwclasses.com/az-ccw-online-course.html