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To make the dough: In a medium bowl, beat together the sugar, butter, salt, and vanilla. Add the flour, stirring to make a cohesive dough.
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Line a 9"-square cake pan with parchment paper or plastic wrap, leaving enough overhang around the edge of the pan to be able to grip it.
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With slightly wet fingers, press the dough into the lined pan, creating as smooth a surface as possible.
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Place the pan in the refrigerator and allow the dough to chill for 2 hours.
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Preheat the oven to 350°F. Lightly grease a baking sheet, or line with parchment.
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Transfer the dough to a work surface and divide the square into thirds crosswise to make three 9" x 3" strips of dough. Cut each strip of dough into 3/4" x 3" slices. Place the slices on the prepared baking sheet.
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Bake the sticks for 12 to 15 minutes, until they're golden around the edges. Remove them from the oven and transfer to a rack to cool.
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To make the glaze: Slowly melt the chocolate in a bowl set over a pot of barely simmering water (a double boiler), or in a microwave.
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Drizzle the glaze over the cooled cookies and sprinkle with the peppermint crunch or crushed candies. Place on a rack to allow the glaze to set.
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Store cookies, well wrapped, at room temperature for several days; freeze for longer storage.