Preheat oven to 375 degrees F (190 degrees C). Spray 24 muffin cups with cooking spray.
Beat eggs in a large bowl. Add egg whites to eggs and beat until smooth. Stir turkey ham, spinach, red bell peppers, green bell peppers, jalapeno peppers, garlic, Italian seasoning, onion powder, cayenne pepper, salt, and black pepper into the eggs. Ladle the egg mixture into prepared muffin cups to about 3/4-full.
Bake in preheated oven until firm in the middle, 25 to 30 minutes.