Remove dough from refrigerator and let rest at room temperature for 1 hour. This warms the dough and relaxes the gluten, making it easier to roll.
Lightly flour work surface. Turn out dough and press gently into a rectangle.
Using rolling pin, roll dough into large rectangle, approximately 24 inches wide by 12 inches tall, about 1/4 inch thick. If dough keeps shrinking back, cover and let rest 15 minutes to relax the gluten.
Spread room temperature buffalo chicken dip filling evenly over entire surface of dough, leaving 1 inch strip bare along the top long edge (the 24 inch side).
Starting from the long edge closest to you (bottom edge), roll dough into a tight log, rolling toward the bare strip. When you reach bare edge, pinch gently to seal the seam.
Position log seam side down. Using unflavored dental floss or thread (NOT a knife), slide floss under the log, cross the ends over the top, and pull tight to slice through cleanly. Cut into 20 to 22 equal pieces, approximately 1 inch thick.
Place rolls cut side up on parchment lined half sheet pan (18 x 13 inches). Arrange in 4 rows of 5, or 5 rows of 4, leaving small gaps between rolls. They should be relatively close but not touching.
Cover pan with lid or plastic wrap. Let proof at room temperature for 2 to 3 hours, until rolls are puffy and nearly touching each other. When you press a finger gently into the side of one, the indentation should fill back slowly but not completely. If your filling was cold when you rolled these up, proof may take 3 to 4 hours.
Preheat oven to 425 degrees F.
Place rolls in oven and immediately turn temperature down to 350 degrees F. Bake for 35 minutes until golden brown on top. Internal temperature should reach around 190 degrees F. If browning too quickly, tent with foil during last 10 minutes. Alternative method: Bake straight through at 375 degrees F for 28 to 32 minutes.
Remove from oven and let cool on pan for 10 to 15 minutes.
Make your choice of drizzle. For ranch: whisk together mayonnaise, buttermilk, ranch seasoning, and lemon juice. Thin with additional buttermilk to drizzle consistency. For blue cheese: mix sour cream, blue cheese crumbles, milk, salt, lemon juice, and black pepper until smooth and pourable. Add more milk as needed.
Drizzle generously over warm (not hot) rolls. Or place in bowls for easy dipping. Serve immediately.