My pup is driving me insane?

I have a 4month old er whom I hand reared from birth. I am an experianced dog owner, and have her mother also. To say this pup chews is an understatement! I have never come across a chewer quite like this little girl! She has regular walking sessions and is crate trained, she also has plenty of toys to play with, the Kong that i put biscuits in etc. If I am at home she continually chews all the time and although I do try to watch her obviously, she continuallully chews and its wrecking the home! She has put a hole in the back door and has chewed a hole in the living room wall, that she keeps going back too. The shed has a lovely big hole in it now, and she has started on the outside patio set. Obviously I feel like I need to keep her confined to the crate, but I dont because this would indeed be cruel. I keep putting all her toys under her nose where she can see them but she much prefers wood and plaster! she is also terrorizing her poor mum by chewing on her ears. I just dont know what to do with her anymore! I have found myself wondering if it is because she was the only pup born from her mum, there was no litter, just her, and because of this reason her mums milk dried so she was hand reared! It seems to be mental! please dont tell me to excercise the dog, I live next to the beach so she has a very good life with us. She has toys to chew on that she is not intrested in, the vet just says take it to behavioural management but all the lists around this area are full!