Lab gets into the garbage.

Hi. I have a 75-lb. yellow lab. She was rescued from a breeder when she was a year old (breeder became too ill to care for her dogs). She is very active, but not generally destructive. We have two kids (7 & 9) who play with her regularly, I take her running with me (5 miles, 2x per week), and we throw the ball with her for about 5 minutes at a time 2-3 times per day. Plus she plays with the lab next door (rough-housing) at least 1-3 times per day for about 5 minutes at a time.

She eats 2 cups of Purina One Large Breed dog food at dinner time, and I give her a bone stuffed with 4 tbsp peanut butter in the morning plus a treat ball with about 1 cup of food in it.

If I don't let her out when the kids are playing outside she whines and barks and generallly becomes so obnoxious that one of the kids finally let her out. They promise to watch her, but often forget. Then she sneaks off to knock over the neighbors' garbage cans and see what the neighborhood buffet has to offer. She makes a huge mess and the neighbors are understandable annoyed! They think she doesn't get enough exercise. Maybe extra walks would help, but I'm not sure. She does so much running already! What is the best way to solve this problem (other than making the kid who let her out clean up the garbage, we are already doing that!)