That stinks. I know part of having a family vacation with little ones is getting some adult time after a busy day at the parks. My kids considered the day care centers and extension of the parks and looked forward to it. About the only thing that can help is to try and have your dinner near one of the 4 day care centers. If you have not been to AKL, I recommend that as after dinner at Jiko, you can explore the property or enjoy drinks at Victoria Falls or just sit in the rockers and enjoy some night time quiet savannah. Otherwise, you'll have to factor in travel time into the cost which is what stinks.
My kids are old enough now that we can either leave them in the room or let them stay at the park, but I feel your pain.