Preheat oven to 350 degrees. Sprinkle flour evenly onto a rimmed 18 by 13-inch baking sheet. Bake in preheated oven 5 minutes, then remove and let cool completely.
In the bowl of an electric mixer fitted with the paddle attachment cream together butter, brown sugar, granulated sugar and salt until pale and fluffy about 3 minutes.
Stir in half and half and vanilla extract. Add in flour and mix just until combined.
Drizzle in more half and half, 1/2 Tbsp at a time, as needed to bring dough together. Mix in chopped chocolate chips (set some aside if you want to press some into top after shaping for looks).
Scoop dough out about 1 tablespoon at a time and roll into balls. Place on parchment paper.
Serve immediately or store cookie dough bites in an airtight container in refrigerator.