Toss together potatoes, duck fat (or alternative), smoked salt, soy sauce, sugar, garlic, shiitake mushrooms until coated well.
Prepare a broiler pan or sheet pan with a screen and a foil lid (or use a stovetop smoker pan).
Place a dusting of maple smoke chips on the bottom and potato/mushroom mixture on top of the screen.
Cover with foil and poke a few holes with a fork to allow smoke to escape.
Put the smoker assembly over a grill on high and smoke for about 10 minutes.
In the meantime, preheat oven to 350°F.
Cover the bottom of an oven safe 6-inch cocotte dish or cast iron pan with breadcrumbs. Spoon potato contents over the breadcrumbs.
Finish in the oven at 350°F for 25 minutes.
To plate, place a dollop of creme on top, a dash of smoked paprika on the creme, and sprinkle parsley liberally over entire plate.