Mounting exterior shutters on deeply recessed windows
If you want the open shutters to run parallel to the wall, some kind of offset hinge is needed. But creating such a hinge to mount the shutters shouldn't be too hard.



The pivot point needs to be slightly outward of the midpoint of the well around the window. The lower tail of the hinge in the image can be cut off, or it can be bent to fit against the window casing.

You should be able to find standard flat strap hinges that can be bent and cut to suit. A bench vise would be the easiest way to make the bends.

Because there is such a long reach, you may want three hinges per shutter.