In a large bowl, whisk together heavy cream, whole milk, granulated sugar, salt, and vanilla extract until the sugar is completely dissolved.
Cover the bowl and refrigerate for at least 2 hours, allowing the mixture to chill thoroughly.
Pour the chilled mixture into an ice cream maker and churn according to the manufacturer's instructions, usually about 20-30 minutes, until it reaches the consistency of soft serve.
Add the chopped chocolate sandwich cookies during the last 5 minutes of churning to mix them evenly throughout the ice cream.
Transfer the ice cream to a freezer-safe container and freeze for at least 4 hours until firm.