Corn and Scallion Chilaquiles

Name: Corn and Scallion Chilaquiles
Ingredients: 1 tablespoon bacon fat or unsalted butter; 6 scallions, white and pale-green parts only, finely chopped (about 1/4 cup); 1 tablespoon minced jalapeno chile (from 1/2 jalapeno); 2 1/2 cups fresh or leftover grilled corn kernels (from 3 to 4 ears); 1 teaspoon coarse salt; 12 large eggs; 3 cups broken tortilla chips, plus whole chips for serving; 2 1/2 ounces cotija or any cheese, crumbled into large pieces or grated (about 1/2 cup; optional); Cilantro sprigs, for garnish; Avocado slices, for serving; Cherry tomatoes, for serving