1 teaspoon Active Dry Yeast, Like Red Star Platinum
1/8 cup Warm Water, 100 to 110 degrees Fahrenheit
1 1/2 tablespoons Granulated Sugar
3 tablespoons Unsalted Butter, Melted, divided
2 1/2 cups All-Purpose Flour
1/4 teaspoon Salt
For the Filling:
1/4 cup Grated Onion
1 cup Shredded Sharp Cheddar Cheese
1 tablespoon Fresh Thyme, Minced
1 teaspoon Bourbon Smoked Paprika, Or regular paprika
1/2 teaspoon Salt
1/8 teaspoon Black Pepper
Heat the milk in a small saucepan over medium heat just until it comes to a boil. Remove from heat and let stand until cooled to warm room temperature.
Sprinkle yeast over water in bowl of a stand mixer (or large mixing bowl.) Add 1/2 tablespoon sugar and let stand until foamy, about 5 minutes.
Beat in the remaining tablespoon sugar, egg and 2 tablespoons melted butter. Beat in cooled milk. Gradually add the flour and salt, scraping down side of bowl, until a soft, sticky dough forms. Knead dough for 10 minutes, adding up to an additional 1/2 cup flour if dough is unmanageably sticky.
Grease a large bowl. Place the dough in the bowl. Cover with plastic wrap and place in a warm, draft free location until doubled in size, about 1 1/2 hours.
In a small bowl, stir together all of the ingredients for the filling. Line with parchment paper and coat a 9-inch round cast iron skillet or baking pan with butter or nonstick baking spray.
Punch down the dough and transfer to a lightly floured work surface. Roll dough to 12x8-inch rectangle.
Spread the cheddar mixture over the dough, leaving a 1-inch border on the sides. Roll the dough length-wise to a 12-inch log, pinch the seam to seal.
Cut crosswise into 8 thick slices and arrange in prepared skillet or baking pan. Brush the rolls with the remaining melted butter. Cover with plastic wrap and let rise a second time in a warm, draft free location until buns are puffed and almost doubled in size, about 30 to 45 minutes.
Heat oven to 350°F and bake buns until they are golden-brown and bubbly, 35 to 45 minutes. Transfer to a wire rack and let cool 10 minutes. Enjoy warm.