Strain cherries, reserving about 3 Tbs of the syrup for making the glaze.
Place the flour, baking powder, baking soda, and salt in the bowl of a stand mixer fitted with the paddle attachment, and mix on low for about 15 seconds.
With the mixer on low, add butter pieces and mix for about 3 minutes to incorporate the butter completely.
Slowly add cream and mix just until a dough forms around the paddle. Scrape down sides and bottom of the bowl.
Add cherries and chocolate chips, and pulse to combine.
Cover and refrigerate for about 2 hours to firm the dough.
Line a baking sheet with a silicone baking mat.
Use an ice cream scoop to form about 30 equal portions of dough, placing on lined baking mat. Wrap and freeze until solid, overnight.