I would highly recommend Palin Parent-Child interaction therapy if it's available where you live. It is internationally known intervention. It looks at parents communication with the child and is play based, and it's more about the parents adapting the environment around the child and what supports their fluency rather than Lidcombe which comments directly on their stutter. It would be good to compare Palin PCI to Lidcombe to see which one you align with most and see which one would suit your child best.