Combine first 7 ingredients in a large bowl; set aside. Combine eggs, egg white, and cre@Sme de menthe, stirring well with a wire whisk. Slowly add egg mixture to flour mixture, stirring by hand until dry ingredients are moistened. (Mixture will be very stiff.)
Sprinkle 1 tablespoon flour evenly over work surface. Turn dough out onto floured surface, and knead lightly 7 or 8 times. Divide dough in half; shape each half into an 8-inch log. Place logs, 4 inches apart, on a baking sheet coated with cooking spray. Bake at 325° for 40 minutes; remove from oven, and let cool 15 minutes.
Carefully cut each log diagonally into 15 (1/2-inch) slices, and place, cut sides down, on baking sheet. Reduce oven temperature to 300°, and bake for 18 minutes. (Cookies will be slightly soft in center but will harden as they cool.) Remove from baking sheet, and let cool completely on wire racks.