Strawberry Pazzo Cake with Herbed Crème Fraîche

Ingredients:
1 3/4 cups Crème Fraîche
1 tablespoon minced fresh rosemary leaves (or minced fresh basil leaves)
6 tablespoons unsalted butter, at room temperature, plus more to grease the pan
1 1/2 cups all-purpose flour
1 1/2 teaspoons baking powder
1/2 teaspoon coarse sea salt, preferably gray salt
1/2 cup granulated sugar
1/4 cup packed dark brown sugar
1 egg
1/2 cup whole milk
1 teaspoon pure vanilla extract
1 pound fresh strawberries, hulled and halved
4 tablespoons balsamic vinegar
1 tablespoon plus 1 teaspoon granulated sugar
A few grinds of fresh black pepper
"Confectioners sugar for dusting
optional"
1 cup Roasted Strawberries with syrup
optional

Instructions:
For the Crème Fraîche: Stir together the crème fraîche and the herbs. Refrigerate and let sit for 30 minutes or overnight.
For the Cake: Butter a 9-inch cast-iron skillet or 8-by-8-inch enameled cast-iron baking pan (if cooking in the grill) or standard 8-by-8-inch baking pan (if baking in your oven). (Don't put a standard baking pan inside your grill or over a fire.) Ignite the coals, turn a gas grill to high, or preheat an oven to 350°F.
Whisk together the flour, baking powder, and salt. Set aside. In the bowl of a stand mixer fitted with the paddle attachment or with an electric mixer, cream the butter and sugars on medium speed until the mixture looks creamy, about 3 minutes. Slowly add the egg, milk, and vanilla and mix just until combined. Gradually add the flour mixture, mixing just until smooth with a creamy texture.
Pour the batter into the buttered pan. Arrange the strawberry halves, cut-side down, on top of the cake batter. Don't overlap the berries; use just enough strawberries for one layer and set aside the rest to use as garnish.
TO BAKE IN A GRILL: When the grill reaches 350°F, slide in the cake, resting the pan on the grill rack, close the grill's lid and let it bake for at least 20 minutes with the grill lid closed. Test the cake: It's done when a skewer inserted into the center (but not in a strawberry) comes out clean and the cake is golden brown on top.
TO BAKE IN AN OVEN: Bake for 10 minutes and then decrease the heat to 325°F and bake for an additional 45 to 50 minutes. The cake is done when a skewer inserted into the center (but not in a strawberry) comes out clean and the cake is golden brown on top.
For the Glaze: While the cake is baking, in a small pan combine the balsamic vinegar, sugar, and black pepper. Bring to a boil over high heat and remove from the heat right away. Set it aside until the cake has baked. It should be the consistency of maple syrup; if it thickens too much before the cake comes out of the oven, stir in a few more spoonfuls of vinegar. As soon as the cake comes off the heat, drizzle the top with about three-fourths of the balsamic glaze.
When the cake has cooled, cut it into wedges if baked in a skillet; if baked in a standard baking pan, cut it into squares. To garnish simply, top with a light dusting of confectioners' sugar. To dress up the cake, spoon several tablespoons of the Roasted Strawberries onto one side of each plate; on the other side of the plate drizzle a small pool of the balsamic glaze, and smear it lightly with the back of a spoon. Drizzle more balsamic glaze over the cake if you like. Set a cake slice on top the strawberry syrup, and top the cake with a spoonful of Herbed Crème Fraîche. Spoon any remaining crème fraîche into a bowl and set on a platter with leftover halved strawberries to pass so guests can add extra if they like.