Not sure about home visits but I know that Attadale Private has it's own sleep school...kids and adults apparently. I go to uni with a girl who work there and I live around the corner from it.
There used to be an independant clinic in Attadale/Alfred Cove which has recently reloacted...can't for the life of me remember what it was called, but Google should be able to help you with that.
There's a postnatal services company run by some midwives - they might be able to help. I think it's called Hush. REally have no idea what they're like though.
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