I'm a little confused about what exactly you're needing to do. Are you saying this:
1) You need a Note 3 that you can use both in the US and Internationally.
2) You need to have AC adaptor plugs that work for the US and Internationally.
If that's what you're saying, my first question would be, where would you spend most of your time (in the US or Internationally)? Or do you split your time equally between the US and overseas?
Regardless, Negri Electronics has the AT&T Galaxy Note III w/ LTE radios (for US spectrum)
Samsung N900A Galaxy Note 3 32GB LTE (AT&T) (Unlocked) (Jet Black) (Open Box)
As you can see, the AT&T Galaxy Note 3 has a N900A model number. That should allow you to activate it on AT&T, while still being able to use it overseas with a local SIM.
Now, as far as charging is concerned, whatever plug (US or International) that comes with the phone, you can just buy an adapter for very inexpensive costs, to use in conjunction with that charger. If you want a more "convenient" solution, then just buy separate plugs that you can use any USB 2.0 or 3.0 chord with.
I personally have multiple USB 3.0 chords. If I were travelling more often, I'd just keep an international plug in my travel bag, along with an extra USB 3.0 chord, so I never have to worry about having one or not. It's just always in my bag.