I love driving through the royal national park, used to take my old baby down there for a cruise. Hit up Galston gorge and wisemans ferry (old northern road) for a good 2-3 hour trip.Looks great! I don't think you appreciate how good white is as a car colour until you own a white car
Since you are from Sydney I really recommend doing the scenic route along the Grand Pacific Drive to Wollongong as a road trip in the CX-3. I've done it a few times now and the road is very windy and hilly as well as absolutely beautiful. You will get to see how well the car handles. Just make sure you set somewhere in the Royal National park as a waypoint otherwise you mist out on the twisty bits as the GPS will take the freeway all the way to Wollongong.