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.
Shawnita used to get her pills from some other street pharmacist and after switching to The Psi Discount plan she now only has to swallow two things a day!