If you're banned 3ds has done a System Transfer before, you should be fine.
Edit: That's if you have everything that one 3DS method tell's you to have.
So I started with a 022-2812 ban and used the compiled arm9bin to get to 022-2501. So what can I do next? I also have a non-banned o3ds with cfw if that helps. I don't really care for my NNID.