i am sorry you are having trouble with your dogs barking. it must be so frustrating. milu is not a barker. but i know a lady at the dog park whose dog just goes NUTS when he sees other dogs and is not allow to sniff them.
that dog is usually such a nice little dog. and then he just goes nuts and there is nothing that lady could do to keep the dog quiet! (she even tries to hold the dog's mouth shut with her hands)
i think you are making some progress, because you said that the trainer is able to get the dog to be quiet. give it some time and be persistent. i wish you good luck with the training.
sorry i don't have any advice to offer. i just want to let you know that i know how you feel because i feel really bad for harley's mom (the lady i met at the dog park)
if you do figure out how to train your dogs to stop doing this, could you please let me know how you did it. so i can tell harley's mom?