We've seen both, although the backyard bbq was thanksgiving day which as i understand has a different menu.
We have two young daughters and they did not enjoy the hoop de do. Much of the show was over there head and they left hungry. Seating was crowded. They didn't care for the food. I on the other hand enjoyed the basic meal.
The backyard bbq was much more enjoyable and the kids were full when they left. The meal was on par with hoop de do from my persepctive. The atmosphere was more family driven. The kids were free to get up and roam about and dance, etc.