Preheat oven to 450 degrees and spray a 9" deep dish pie plate with cooking spray and set aside.
Season hash browns with a bit of salt and pepper then toss with melted butter until well coated. Press hash browns into the bottom and sides of pie dish to form a crust.
Bake for 20–25 minutes until golden brown and beginning to crisp along edges.
Meanwhile, crack 1 egg into a medium-sized mixing bowl and whisk together with flour until completely smooth. Add remaining 8 eggs and whisk until smooth then stir in milk or half-and-half, ham, onion, bell pepper, salt and pepper.
When crust is ready, remove from oven and reduce oven heat to 350 degrees. Pour egg mixture into crust and top with shredded cheese. Return quiche to oven and bake for 45-50 minutes or until light golden brown on top and firm in center. Remove from oven and allow it to cool for at least 10 minutes before slicing and serving.
One Last Thing
Start by whisking the flour into a single egg and then add the remaining 8 eggs. If you try to whisk the flour in to 9 eggs, the mixture will never become smooth.