In a medium bowl, combine the strawberries, sugar, vodka, lemon zest, and lemon juice. Toss until the berries are evenly coated.
Cover and let sit for 1 hour, preferably in the refrigerator, until the strawberries release their juices.
Transfer the strawberry mixture to a blender. Add the basil leaves, ricotta, and heavy cream.
Pulse until combined and the basil is finely chopped. For a smoother texture, continue blending until completely smooth.
Cover and refrigerate the mixture until thoroughly chilled, at least 4 hours or up to overnight.
Churn the chilled mixture in an ice cream maker according to the manufacturer’s instructions, until thick and softly frozen, 15 to 25 minutes.
Transfer the ice cream to a freezer-safe container, cover, and freeze until firm enough to scoop, at least 3 hours.