Preheat the oven to 375 degrees. Roll the crescent dough sheet into a 16" x 12" rectangle on a lightly floured surface.
Whisk together the Dijon, honey, hot sauce, and pepper; spread the mustard mixture on the dough sheet. Top with ham and cheese.
Roll up the dough triangle from 1 short side; press the seam to seal. Cut the roll into 12 (1-inch-thick) slices. Place 1 slice into each greased cup of a 12-cup muffin pan. Drizzle with the melted butter evenly over the top of each slice.
Bake at 375 degrees until golden brown, 20 to 25 minutes. cool in the pan or on a wire rack 5 minutes. Remove the pinwheels to the wire rack. Serve warm, or cool completely.