Peel the pineapple and cut into rings. Remove the central core. Dip each slice in coconut milk and then into sugar. Whip the cream, add the sugar, lavender blossoms and grated coconut to the cream and gently stir. Chill the cream.
Line the grill with foil and brush with a little soft butter. Place the pineapple slices onto the grill and grill until golden brown. Dish the pineapple rings onto plates with the coconut cream.