Bacon Butternut Hash with Ham and Eggs

Name: Bacon Butternut Hash with Ham and Eggs
Ingredients: 2-3 strips thick bacon, diced; 6 cup peeled, seeded, cubed butternut squash; 3 cloves garlic; 1 small red onion, quartered; 1/2 small green bell or poblano pepper, stemmed, seeded, quartered; 1/2 medium-size red bell pepper, stemmed, seeded, quartered; 1/2 teaspoon salt; 1/4 teaspoon freshly ground pepper; 1/4 teaspoon dried thyme; 1/4 teaspoon dried rosemary; 2 tablespoon vegetable oil for high-heat cooking, such as safflower or sunflower; 10-12 ounce (about 3 cups) fully cooked smoked ham, chopped into 1/2-inch pieces; 8-12 large eggs; 1/2 cup shredded cheese, such as fontina or brick