Not that it matters much but I don't believe that your exterior box has to house a GFI. Assuming that you would feed the exterior box from an interior outlet you could always install a GFI in the interior box and run the fault protected 120VAC wiring to the outside. The downside is that, if something trips the GFI on the outside it would also disable the interior outlet as well. I would prefer to have the exterior box house a GFI as well but it doesn't have to be a limiting factor if you found the exterior box without a GFI.