Mix neufchâtel, dill, and lemon zest in a small bowl until blended. Spread 2 tbsp. cheese mixture on each tortilla. Arrange trout down the center, then top with spinach.
Heat a medium nonstick frying pan over medium heat. Whisk eggs in a small bowl to blend. Pour eggs into pan and scramble until set, about 2 1/2 minutes.
Spoon eggs over spinach on tortillas, then roll up burritos, tucking in ends.
Note: Nutritional analysis is per burrito.