To prepare the ice cream base, place all the ingredients except the cookies and extra strawberries in a mixing bowl and blend with a stick blender or mixer until the sweetener is dissolved and there are no cream cheese lumps.
Pour the mixture into the CREAMi pint, making sure it doesn't go over the MAX FILL line, then put the lid on it. Place the pint in the freezer, making sure it's level. Freeze for 24 hours.
Take the pint from the freezer and let rest on the counter for up to 30 minutes. Remove the lid, and place it in the outer bowl of the machine. Install the paddle in the lid and attach lid to the outer bowl.
Plug in the Ninja CREAMi unit and install the bowl on the base. Press the power button, select FULL, and then LITE ICE CREAM setting. Press the button to begin blending.
When the unit shuts off, remove the bowl from the base and remove the lid. Dig a hole in the middle of the ice cream all the way through to the bottom of the container. Fill the hole with the crumbled snickerdoodle cookies and more fresh strawberries, if they fit.
Replace the lid and reinstall the bowl on the machine. Select MIX-IN.
Once the ice cream is done blending, serve it immediately with your toppings of your choice.
