These baked grilled cheese sandwiches should be a big hit, shaped like starfish.
Preheat oven to 425 degrees. Line baking sheet with parchment. In large bowl, sift together flour, salt, and baking powder. Using pastry blender or 2 knives, cut butter into flour mixture until it resembles coarse meal.
Make a well in center of flour mixture; pour in milk. Mix, using a fork, until dough just comes together. Transfer dough to a lightly floured surface; press to form a 6- to 7-inch-diameter circle.
Roll out the dough 1/3-inch thick. Cut out with 3 1/2-inch star-shape cookie cutter. Transfer to the prepared baking sheet. Lightly brush the tops with milk, and sprinkle with cornmeal. Bake until golden, 10 to 12 minutes. Remove from oven, and transfer biscuits to a wire rack to cool.
Cut cheese into star shapes. Cut each biscuit in half crosswise. Spread one half with mayonnaise; top with a cheese star. Cover with the other half, and serve.
You will need a 3 1/2-inch star-shaped cookie cutter.