Southwest Broccoli Queso Chowder

Name: Southwest Broccoli Queso Chowder
Ingredients: 1-2 tablespoons olive oil; 8 ounces cubed ham; 1 small red bell pepper (diced); 1 poblano pepper (diced); 1 small onion (diced); 10-12 ounces broccoli (stems chopped, florets reserved); 2 cloves garlic (minced); 1/2 of a 20-ounce package southwest style hash browns*; 1/4 teaspoon ground cumin; 1 quart chicken stock; 1/4 cup flour; 1 cup whole milk; 1 cup grated asadero or monterey jack cheese (about 4 ounces); 1 cup grated sharp cheddar cheese (about 4 ounces)