Hi
It's a long time since I've lived in a house, but I have worked in the building trade...
I think this will make your roof and attic cooler in every way. And, for those really sunny hot days, instead of dumping excess energy into a dump resistor, install a relay and dump the energy into some fans to move air around that bedroom. The fans will come on exactly when they are most needed.
If your wife still won't let you have your panels, then you need a new wife.
Some months ago, the BBC World Service had series of programs on renewable energy. One of the products mentioned was new roofing products where the actual roof is the solar panel which can be installed by roofers with no RE experience and looks like an integral part of the roof. Right now, I'm fighting a very shaky WiFi connection just to be able to post this, but I'm sure there is more information on the BBC World Service website.
Regards,
Owen Morgan
Yacht Magic
Falmouth Harbour, Antigua