In a cocktail shaker or mixing glass, combine the strawberries and basil leaves.
Muddle vigorously for 45-60 seconds until the strawberries are completely broken down and the basil is fragrant.
Add the coconut cream, lemon juice, honey, and vodka if using, then shake well to combine all ingredients thoroughly.
Fill two glasses with ice cubes and strain the mixture evenly over the ice.
Top each glass with cold water or club soda and stir gently to incorporate.
Garnish with fresh strawberry slices and a basil leaf, then serve immediately while cold and creamy.