In a small bowl, melt butter in the microwave (about 15-20 seconds or more if needed).
In a separate small bowl, stir together the brown sugar and cinnamon.
Transfer the dough to a lightly floured surface. Use a rolling pin to roll the dough into a large rectangle measuring approximately 13x21 inches (32.5x53 cm).
Use a pastry brush to brush the melted butter over the dough. Sprinkle the cinnamon sugar mixture over the dough.
Use a spoon to spread the blueberries over the cinnamon sugar, reserving 1½ tablespoons for the cream cheese frosting.
Loosely roll the long edge of the cinnamon roll dough toward you, forming a long cylinder.
Use unflavored dental floss or a sharp kitchen knife to cut the rolls into 12 equally sized rolls. If using dental floss, slide the floss under the dough and cross the ends of the floss over the dough. In a quick motion, pull the floss in opposite directions to cut the dough. It is easiest to cut the dough in half, then cut in half again. This will result in four pieces that are easier to cut into three even rolls. Transfer the rolls to a 9x13 inch baking pan, evenly spaced. Place the end rolls upside down so the cut side is facing up.
Cover with plastic wrap and allow to rest at room temperature for 1 hour. THe rolls should appear light and fluffy and will be touching each other.
Preheat the oven to 350℉ about 15 minutes before the end of the proofing time.
Bake in preheated oven for 30-35 minutes. The center of the rolls should reach an internal temperature should be 190℉ when finished.
When finished baking, remove from oven and let cool in the pan while you make the frosting.