Scoop dough out 1 1/2 Tbsp (about 33g) at a time and shape into balls. Transfer to a baking sheet lined with parchment paper or a silicone liner, spacing cookies 2-inches apart (chill dough balls that aren't currently baking in refrigerator on plates).
For the white chocolate: Place chocolate chips and shortening in a medium microwave safe bowl and heat in microwave on 50% power in 20 second intervals, stirring well between intervals until melted and smooth.
Allow to set at room temperature or in refrigerator. Store in an airtight container at room temperature.