I live in Bendigo Australia which has very hot summers.
I work in the area of making small homes liveable.
From the photo I notice a few extra things that may help you;
- catch the water out of the spouting in the front in a 5000 gal water tank located somewhere. My signature has a link.
- Cover the skylights and relevant windows on the inside with a reflective film like this one
renshade-reflective-rolls-for-hot-skylights
- install a 'safari' roof or wall panel to reduce the penetration of heat from direct sunlight, I will explain that.
- install a temperature controlled exhaust fan high in the roof space or the loft or both. Power operated are better because they work when its dark and still hot.
power operated roof vent
https://www.ecohome.net/guides/3630/why-roofs-need-to-be-ventilated-how-to-install-roof-ventilation-vents-fans-methods-building-code-us-canada/
- Do you have a flat plate solar water heating system? They would work well there .
Safari roof design.
This is a system I created after observing similar systems on homes in the tropics, and on some vehicles.
It is a secondary roof or wall panel which is not weatherproof and fits over existing weatherproof surfaces.
There are two varieties;
- single layer no insulation
- double layer with reflective insulation.
It could be described as a shade panel for a surface.
They are constructed to shade an existing roof or wall and have air flowing between the two.
1 Fit 50mm metal battens running up the roof or wall to the surface.2
2 Install a good quality reflecting insulating material to the battens
3 Attach a second lot of 50mm steel battens at right angles to the first layer, IE horizontally
4 Attach the new roof or wall sheeting to second lot of battens.