In a large heavy saucepan, combine the sugar, flour and salt. Gradually add milk; stir until smooth. Bring to a boil over medium heat; cook and stir for 2 minutes or until thickened. Remove from the heat; cool slightly.
Whisk a small amount of hot mixture into eggs; return all to the pan, whisking constantly. Cook and stir over low heat until mixture reaches at least 160° and coats the back of a metal spoon.
Remove from the heat. Cool quickly by placing pan in a bowl of ice water; stir for 2 minutes. Press plastic wrap onto surface of custard. Chill for several hours or overnight.
In a blender, combine 1 cup cream, vanilla and crushed candies; cover and process until candies are finely chopped. In a large bowl, combine the custard, peppermint ,mixture, food coloring and remaining cream.
Fill ice cream freezer cylinder two-thirds full; freeze according to manufacturer's instructions. Refrigerate remaining mixture until ready to freeze. Remove from the freezer 10 minutes before serving. Yield: 2-1/2 quarts.