Beat the cold heavy cream, powdered sugar and vanilla with an electric mixer for 2-3 minutes, until it holds medium peaks. Fold in half of the crushed cookies and refrigerate until serving.
In a large bowl, whisk together the flour, sugar, baking powder, baking soda and salt.
In a separate bowl, whisk the milk, sour cream, melted butter and vanilla until completely smooth.
Pour the wet ingredients into the dry ingredients and fold until just combined. Gently fold in the chopped cookies and let the batter rest for 5 minutes.
Heat a nonstick skillet or griddle over medium-low heat and grease it lightly with butter. Pour 1/4 cup of batter per pancake, making sure each one gets a few cookie pieces.
Cook for 2-3 minutes, until bubbles appear and the edges look set, then flip and cook for 1-2 minutes more, until golden and cooked through.
Stack the pancakes with a spoonful of the cookies & cream topping between the layers and more on top. Finish with the remaining crushed cookies and serve right away.