Heat large nonstick skillet over medium heat until hot. Add flour and vegetable oil; cook for 2 to 3 minutes. Add water and stir until sauce thickens. Add cheese and cook for 1to 2 minutes. Stir in beef.
Put 1/3 cup of meat and cheese mixture on bottom of each bun. Top with 2 tablespoons diced tomato and 1 or 2 dill pickle (if desired). Close sandwiches.
Nutrition information per serving: 280 Calories; 54 kcal Calories from fat; 6 g Total Fat; 2 g Saturated Fat; 1 g Monounsaturated Fat; 49 mg Cholesterol; 1253 mg Sodium; 32 g Total Carbohydrate; 0.7 g Dietary Fiber; 21 g Protein; 1.8 mg Iron; 0.3 mg Niacin; 0.1 mg Vitamin B6; 0.1 mcg Vitamin B12; 0.3 mg Zinc; 1 mcg Selenium; 4.5 mg Choline;