Heat the oil in the deep fryer to 375 degrees. Wash the mushrooms and remove any woody stems. Pat mushrooms dry with a paper towel. Coat mushrooms with flour, lightly tap to remove excess flour. Dip in eggs. Coat with bread crumbs. Set aside to set the batter. Deep fry mushrooms in batches, turning if needed to cook evenly, 3-4 minutes or until golden brown.