In a regular-sized rectangular ice cube tray, fill the ice cube sections up with full-fat, canned coconut milk. Freeze it overnight and then use 7 of the cubes. I recommend using Thai Kitchen brand of coconut milk.
For the Cookie Dough
For the cookie dough, mix together all cookie dough ingredients in a bowl (except the chocolate chips). Once a dough forms, add in the chocolate chips. Freeze this for 3-4 hours, until it is hard to the touch.
For the Frappuccino
Once the cookie dough is ready, then blend all milkshake ingredients together until smooth.
Remove the cookie dough from the freezer. It should be more hardened than it was at room temperature.
Add the cookie dough into the blender and pulse it for just a second (do not fully blend, it will disappear into the frappuccino completely). You can reserve a bit to use as topping.
Pour this into a cup. Serve with vegan whipped cream and more cookie dough on top! Drink it right away or the cookie dough will get soggy.