Pour egg mixture into skillet. Melt butter in a 12-inch oven-proof (cast iron) skillet; add egg mixture. Cover with rest of cheese. Add the peppers and cook until they start to caramelize, about 5 minutes. Preheat oven to 325 degrees. Beat eggs, add salt, pepper, onion, ham, 1/2 cheese and garlic powder. Bake for 20 to 30 minutes. Preheat the oven to 400 degrees F. Heat a cast iron skillet over medium heat. Bake at 350F for 15 minutes; remove from over and sprinkle with chopped tomato, shredded cheese, and fresh basil. Melt butter in cast iron skillet. Return to oven and bake 15-20 minutes longer or until set. Garnish with fresh basil, if desired. When the pan is hot, add the olive oil and heat. Tip skillet so bottom and sides are coated with butter. Mix well.