The bourbon in this drink is optional, which means you can enjoy it all day every day.
In small saucepan, bring sugar, 1/2 cup water, and 5 thyme sprigs to boil, stirring until sugar dissolves. Reduce heat to low; simmer for 10 minutes. Let thyme syrup cool to room temperature; strain into large pitcher. Stir in apple juice, club soda, ice, and bourbon (if using). Garnish with remaining 5 thyme sprigs.