Prepare Your Ingredients: Start by making sure your vanilla ice cream is slightly softened. This will make it easier to blend.
Mix the Milk and Alcohols: In a blender, combine the milk, Baileys Irish Cream, and vodka. Blend until well-mixed.
Add the Ice Cream: Add the softened vanilla ice cream to the blender. Blend on low until the mixture is smooth and creamy. You want it to have a thick, milkshake-like consistency.
Fill Your Glasses: Pour the mixture into 2 tall glasses, filling them about three-quarters full.
Top with Whipped Cream: Generously top each glass with whipped cream.
Drizzle with Chocolate Syrup: Drizzle chocolate syrup over the whipped cream.
Add Garnishes: Sprinkle mini chocolate chips, mini marshmallows, and graham cracker crumbs (if using) on top for extra flair.
Serve Immediately: Serve the Drunken Snowman immediately while it’s cold and creamy.