I know that I am beating a dead horse here but, as far as I know, there are no federal laws that would prohibit an individual from shipping ammunition to someone in another State, County, or City. All restrictions would be local and I'm not bound by restrictions other than Federal or State of AZ.
However, there are federal rules and regulations that apply to dealers, in particular, FFLs.
And, of course, it goes without saying that a resident of one of the State, County, or City with the restrictive laws has to deal with that. It's only fair to consider the effect of shipping to a restricted area, and the impact it would have on the buyer, but in the end it's still his decision whether to test the laws.
It's a damn shame that our collective governments put all of us into these situations. It's Sunday and that's the end of my sermon for today.