Italian Cheese and Herb Pinwheels

Name: Italian Cheese and Herb Pinwheels
Ingredients: 1 package active dry yeast; Pinch of sugar, plus 2 tablespoons; 1 cup warm water (105° to 115°F); 1 teaspoon salt; 3½ cups unbleached all-purpose flour; 4 large eggs; ½ cup extra-virgin olive oil, or 8 tablespoons (1 stick) unsalted butter at room temperature; ¾ cup (3 ounces) grated romano or Parmesan cheese; ½ cup (2 ounces) shredded Asiago cheese; ½ cup (2 ounces) shredded Monterey Jack cheese; ½ cup mixed minced fresh Italian parsley, basil, chives, and oregano