This is the same species that has been ID'd as Ectobiidae sp. (family), see sighting: https://canberra.naturemapr.org/Community/Sightings/Details/3371666
Thanks Michael. I checked in David Rentz's 'Guide to the cockroaches of Australia' (CSIRO, 2014). This one is similar to a Hensaussurea sp., but also resembles a Robshelfordia sp. Both are in the Ectobiidae, and since I can't tell which it is, I will leave it at the family level.