Preheat oven to 375°F. If using a pizza stone, preheat stone in oven.
Cook broccoli until very tender; drain and smash. Combine broccoli, chicken, cheese, sour cream, and cream soup in a bowl. Season to taste.
Unroll crescent dough and press perforations to form two large rectangles. Place side by side or overlap to form one large rectangle.
Spread filling down the center, leaving a 1–1½" dough border on the short ends. Cut 1" strips along both long sides.
Braid the dough over the filling, twisting each strip twice as you cross from side to side, or form into a wreath and braid around. Tuck ends to seal.
Brush with egg wash, top with extra cheese or seasoning if desired. Bake 18–25 minutes until golden and filling is bubbly. Let rest 5–8 minutes, then slice and serve.