In a shaker, combine bourbon, lemon juice, honey syrup, and egg white (optional).
Shake vigorously without ice for about 20 seconds (dry shake).
Add ice to the shaker, and shake again until very cold (about 15 seconds).
Strain the cocktail into a beer pint glass, filling about ¾ full.
Gently top with sparkling apple cider or ginger ale to create a convincing "beer" look.
Allow foam to settle naturally on top.
Add a lemon wedge on the rim to mimic a casual beer garnish.