Check out some of the recent Canberra logs. Someone did a ride of the full 6 peaks a few weeks ago. "Miss Jones" I think. Names I remember include Black, Majura, Ainslie, Stromlo, Red Hill, Pleasant.
http://www.attackpoint.org/viewlog.jsp/user_1474/p...
When in Canberra I usually do the run up Black Mountain from the Aranda side. It took me years before I was able to do it without stopping. Not sure if that was increasing fitness, or loss of pain receptors with age. From the other side the track up from near the Botanic Gardens is a better bet than the bitumen road. The track around the upper part of the mountain is quite nice. Makes the hard slog up worth the pain. Never done Majura or Ainslie..