Other Worldly Sticky Buns

Name: Other Worldly Sticky Buns
Ingredients: 1 1/2 cups warm water (110 to 115 degrees F); 2 tablespoons dry yeast; 1 cup sugar; 1/2 cup (1 stick) unsalted butter, room temperature; 1/2 cup dry nonfat milk powder; 1 1/4 teaspoons fine sea salt; 2 large eggs; 4 1/4 cups all-purpose flour, plus more as needed; 1/2 cup (1 stick) unsalted butter, room temperature, plus more for pans, plus 1/4 cup, melted; 1 cup (packed) golden brown sugar; 1/4 cup honey; 1/4 cup dark corn syrup; 1/4 cup water; 1 1/2 cups pecan halves; 1 tablespoon sugar; 4 teaspoons ground cinnamon; Royal Icing, recipe follows; *2 large egg whites; 2 teaspoons fresh lemon juice; 3 cups confectioners' sugar, sifted