Combine gin, beer, lime juice and honey and ice in a cocktail shaker and shake to combine. Fill a Lewis Bag with remaining ice and beat with a mallet until crushed or crush in a blender. Fill a rocks glass with crushed ice forming a domed mound on top. Double strain shaker contents over ice using a Hawthorne strainer and a small mesh strainer. Apply a few dashes of the bitters over top and garnish with bruised mint leaves.
NOTE: Try different kinds of local honey to vary the flavor of this Session beer cocktail.