Historically, this approach was seen through the New England colonies. Virtually every old home is a clapboard structure fitted with shutters applied in this manner. They were likely hung on the casing to allow for the frost heaves and movement of the structures in the harsh New England winters. The shutters simply allowed the house to heave and settle behind them.
A strap hinge with a zero offset and an angle pintle matched to the thickness of the shutter will serve in every case. The shutter is removed from the face of the casing by the thickness of the shutter plus the diameter of the pintle pin leaving the shutter to clear the corner of the casing.