Preheat oven to 350 degrees. Toss cheddar cheese with flour. Place mixture in bottom of an ungreased 9-inch pie plate. Sprinkle Monterey Jack cheese over top.
Combine eggs and half-and-half, add Worcestershire sauce, mix well, and pour over cheeses. Sprinkle tomato and basil over egg mixture. Bake 35 to 40 minutes.