Here is a thought. Eat the main part of your meal without the feather babies, mostly clean off the table, bring the feather babies in so they can eat while you and hubby enjoy a salad or fruit. Less plates, less stuff, less opportunity to get into trouble.
I don't know if pine cones are parrot safe but if they are that might be an idea. I do know that coconut shells are ok so maybe a coconut shell toy that she could pick at.