Directions

1. To make the sugar syrup, combine 3/4 cup water and 4 tablespoons sugar in a small saucepan. Cook over medium heat, stirring until sugar has dissolved, about 2 minutes. Cool to room temperature.
2. Place half the strawberries in a blender with the sugar syrup, lemon juice, and vodka, if using. Puree. Transfer to a fine mesh sieve and press on puree, pushing the pulp through. Discard seeds remaining in sieve.
3. Pour mixture into a shallow 8-inch square pan. Freeze 2 to 3 hours, or until almost completely frozen. Scrape granita with a fork to make it flaky. Freeze for another hour and scrape again. When ready to serve, scrape again.
4. About 30 minutes before serving, quarter remaining strawberries lengthwise and transfer to a bowl. Add remaining tablespoon sugar, pepper, and vinegar; mash slightly with a fork, keeping mixture chunky. Add basil.
5. To serve, scrape some granita into four glasses and top with smashed strawberries.
   
   Per serving: 110 calories; 1 g protein; 0 g fat; 28 g carb; 3 g fiber.