Puree the celery stalks in a food processor or blender. Use a bit of water if you have a hard time getting them to puree. Reserve in a glass until needed.
Combine sugar, water, lime zest in pan and heat until the sugar is dissolved. Strain into a glass and let cool.
Combine the lime syrup, celery juice, Heartland Distillers American Gin, and a pinch of salt into a shaker with fresh ice. Shake. Strain and serve into a couple of coupe glasses or wine glasses. Garnish with a trimmed celery stalk.