Emeril's Frozen Milk Punch

INGREDIENTS

• Freshly grated nutmeg
• 3 quarts half-and-half
• 1 1/4 cups brandy
• 3/4 to 1 cup simple syrup, (equal parts sugar and water, simmered until sugar dissolves and cooled)
• 1 1/4 cups dark rum
• 4 tablespoons pure Mexican vanilla
• 1 1/4 cups bourbon