The Sportstar used for training in Gladstone is also available for hire. At the moment it is only here for 2 days a week, but it will soon be based here full time.
Gladstone might not be as close as you might have liked, but I am not aware of anything any closer to you outside of Rocky's controlled airspace.
If your are interested, google Gladstone Aero Club and look at the " learn to fly" page for contact details.