Just adding my 2 cents worth to this...My trade background is in the ceiling industry with over 26 years behind me, so I have seen a few different styles of ceiling from commercial to domestic, pre1900's through to brand new installs.
I also have a house with the same said exposed raking beam ceiling as in the original posters picture.
My first question is about the main house construction as I see that the author hails from QLD, so there could be a possibility that the house might be of full timber frame construction. If so, then this will contribute in my opinion to the heat generated in the house if the walls and flooring are not insulated, as we all know how hot air rises and if it has no where to go it will generate heat.
My practical example to this is with the last two homes that I have owned.
1st was an old timber frame home with high ceilings, that were insulated with r3.5 bats, but the timber floors were up on stumps with a cavity under the floor and plaster lined wall's with no insulation at all. this was by far the hottest house that I have ever lived in EVER. When I would come home in the arvo after work and take of my boots to walk inside I could feel the heat in the floor. It was like an electric blanket. Air con made little if no difference on most days.
2nd house, and current one has concrete slab, double brick walls and high, UN insulated ceilings...This is by far the coolest house that I have lived in. We hardly use the air con at all now.
My point is that an insulated ceiling is not the only factor to a cooler house and this comes from my own personal experience's.
The original poster might want to consider these factors.
If his house is concrete floor and double brick then forget anything I've said


PS the older timber frame house was coastal(doubleview/scarborough) and current house further inland so the seabreeze factor has nothing to take into account for my findings.