Preheat oven to the low broil setting, or 500 degrees.
Combine red pepper, onion, zucchini, carrot, 1 tablespoon of the olive oil, and salt. Toss to coat all vegetables in the oil. Lay in a single even layer on a cookie sheet. Bake for 4 to 5 minutes or until vegetables just begin to wilt. Watch the vegetables closely, since they will cook fast!
Lightly spray a second cookie sheet with nonstick cooking spray. Lay 4 of the tortillas flat on the sheet. Divide the cooked vegetables evenly between the tortillas followed by the cheese and beans. Top with a second tortilla. Lightly brush the tops with remaining olive oil.
Bake about 2 to 3 minutes, just until tops begin to brown. Remove from oven, flip quesadillas and brush the second side with olive oil. Return to oven and bake an additional 2 to 3 minutes, or until light brown. Watch closely as the quesadillas will cook and burn quickly!
Remove from oven and rest for 2 to 3 minutes. Cut and serve with low-fat sour cream, plain Greek yogurt, your favorite salsa, or guacamole!