Dave,
My own personal experience is that when we get the early autumn rain - around March April the arils start into growth, ideally they could be covered during winter so that they get light but little moisture and then in spring let them get natural rainfall while coming up to, flowering, and a few weeks later. November I prefer to let them start to dry out by covering them again or hoping that rain stays away so that they get a baking during summer. You would need to cover them later as they would flower later for you.
I will do a picture search and see when my plants flowered. Late November for acutiloba ssp lineolata.
With our unusual extra rainfall in summer this year I have decided to cover some, dig some, and those that seem to have coped well in the past leave insitu.
When covering in summer leave a good airflow - raise the cover about 20cm above the ground level - and leave sides open.
I store them in paper bags on trays but small rhizomes can be lost so maybe kept in pots of course sand with a tiny amount of water over summer would be better.