On a small plate, mix the crushed candy canes with an equal amount of red sanding sugar.

Wet the rim of each glass with a little pineapple juice, then dip in the candy cane and sugar mixture, turning to coat evenly.

In a pitcher, combine the pineapple juice and peppermint extract, stirring well; taste and add another drop of extract only if the mint doesn't come through.

Add the lemon-lime soda and stir once, gently, to keep the fizz.

Pour over ice into the prepared glasses and hook a mini candy cane over the rim of each.