You could get the list of Obs that service the hospital that you want to go to and ring around asking firstly if they are available when you're going to deliver and then what the fees are.

My Ob is $1500 and I get some of that back, whereas my SIL paid over $5000 for hers! Mind you these were at two different hospitals (some private hospital's obs charge more than others too!)

I love my Ob and I didn't want to go to my local public hospital, hence private. I don't really need the years of medical study that he has done (well I don't think I do at this stage!) but you need an Ob to go private.

Hope this helps!