Preheat oven to 400F. Bring a large pot of water to a boil.
In a large mixing bowl, combine the cream cheese and scallions until thoroughly mixed.
Cut each pizza dough into 4 pieces and roll each piece of dough out into rectangles about 9x4. Spread some of the flavored cream cheese lengthwise down the middle of each rectangle.
Brush one of the long sides of dough with egg wash and fold over a half inch of the short ends of the dough over the cream cheese. Tuck the long side without egg wash over, rolling over the cream cheese to enclose the filling, crimping slightly to secure, then transfer to a baking sheet.
Drop the bagel stick into the boiling water and boil for 4 minutes. Remove and place on a baking sheet, seam side down. Brush the top with remaining egg wash and sprinkle with sesame seeds. Make 3 small slits to release steam and bake until golden brown, about 20 minutes.