Heat the half and half until very hot (not boiling), stirring often. Do this in a saucepan or a glass dish in the microwave, but make sure it doesn't boil.
In a large bowl, whisk together the egg yolks and sugar until well-blended and slightly thickened, very gradually whisk in the hot half and half. You don't want to scramble the eggs with the heat of the half and half, so just add a small amount at a time to gradually bring up the temperature of the eggs.
Add the mixture to a medium saucepan and cook over medium low heat until it's steamy and bubbles form around the edge, stirring constantly. Do not boil.
Pour the mixture into a large bowl and whisk in the whipping cream, vanilla and salt.
Cover and chill overnight.
Add the chilled mixture to an ice cream maker per your manufacturer's instructions.
Stir in the crushed Oreos at the end, just before you turn off the machine.
Notes
If you are preparing this recipe as gluten-free, be sure to use GF chocolate sandwich cookies.