Preheat oven to 425F. Line a baking sheet with foil sprayed with nonstick cooking spray.
Heat butter in a large nonstick fry pan over medium high heat. Add ham and sauté until starting to crisp. Add eggs and half and half to the pan and stir to scramble. Season with a touch of salt and pepper to taste. Transfer to a medium mixing bowl and stir in the scallions.
Microwave the tortillas for 20-30 seconds or until pliable. Place about 1/4 cup of the filling in the lower third of each tortilla, followed by 2 tablespoons of the cheese. Roll up tightly and place seam side down on the baking sheet making sure the rolls are not touching each other. Spray lightly with nonstick cooking spray followed by a sprinkle of kosher salt.
Bake for 12-14 minutes, or until golden and crispy.