Preheat oven to 350°. In a large bowl, cream butter, shortening and 2 cups sugar until light and fluffy, 5-7 minutes. Beat in egg and extract. In a small bowl, mix milk and creamer. In another bowl, whisk flour, salt and baking soda; gradually add to creamed mixture alternately with milk mixture, beating well after each addition.
In a small bowl, mix nutmeg and remaining sugar. Shape dough into 1-in. balls; roll in nutmeg mixture. Place 2 in. apart on ungreased baking sheets; flatten slightly with bottom of a glass.
Bake until lightly browned, 10-12 minutes. Cool on pans 2 minutes. Remove to wire racks to cool completely.
For icing, in a small bowl, mix confectioners' sugar and enough creamer to reach desired consistency. Pipe snowflake designs on cookies as desired.
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