Heat oven to 400°F. Whisk together eggs, milk, 1/4 tsp. salt and a few grinds of black pepper in a medium bowl.

Heat oil in a 12-inch cast iron or other oven-safe nonstick skillet over medium heat. Add sausage and bell pepper and cook about 5 minutes, breaking up sausage into small pieces with a wooden spoon, until sausage is cooked through (165°F internal temp.)

Turn off the heat. Pour egg mixture over peppers and sausage. Top with artichokes and sprinkle with cheese. Bake about 20 minutes until eggs are set and a knife inserted in a few places comes out clean. To serve, garnish with basil and cut into wedges.