Glazed Caramelized Roasted Banana Bread Drop Doughnuts

Name: Glazed Caramelized Roasted Banana Bread Drop Doughnuts
Ingredients: 3 large ripe bananas, cut into 1/2-inch slices; 2 tablespoons cold butter, cubed; 3 tablespoons light brown sugar; Vegetable oil, for frying; 1 3/4 cups all-purpose flour; 1 teaspoon ground cinnamon; 1 teaspoon baking powder; 1/2 teaspoon baking soda; 1/4 teaspoon salt; 1/4 cup heavy cream; 1/4 cup sour cream; 1 egg; 1 cup cinnamon chips (recommended: Hershey's); 1/3 cup milk; 1 tablespoon unsalted butter; 1/2 teaspoon vanilla extract; 2 cups confectioners' sugar