The 2 ideas I like best and am doing on my Florida home, like ghurd said,
DC ventilating fans run by a solar panel and battery. I just added a ridge vent along the peak of my roof and this summer I will tear open the gables and build two large vents with DC fans that run slow and quiet. Thermostat controlled and much larger than the tiny all in one solar vents you can buy. On the cool shady side of the house the fan will draw air in and the other end will exhaust.
White roof. I just reshingled my roof with white shingles. They are supposed to reflect about 35% of the light. I am looking into elastomeric roof coatings that can reflect up to 85% of the light. The paint is for resurfacing older roofs but I plan to do it to my new roof. It's very simple and it works. In the sunbelt, white is the new green for roofs.
Other things I have done,
Sycamore trees to shade the house, they grow fast, have big leaves and lose their leaves for the winter after the heat is gone.
Insulation and caulk to keep conditioned air in.
Solar film on the windows. This reflects light but what I didn't know was the glass absorbs a LOT of heat due to the film. On a hot day you can touch the glass and it is HOT. So...
I added awnings above the windows for 2 reasons. It keeps the rain away so I can leave windows open more and it also keeps the sun off the glass. These awnings I made myself and it was a really simple and strong design, and cheap. I can do a tutorial if anyone is interested.
Another good idea is to replace window screens with solar (sun blocking) screens that cover the whole window, not just the part that opens.
Last, I plan to experiment with spraying water on the roof. Also, you can now get tiny little misting nozzels in the irrigation dept at home depot. These are often used to cool the air in outdoor restaurants and cafe's and are really neat.
Personally I would not try the tarp or thermal blanket idea. To sum up, a light reflective roof with good ventilation underneath is the way to go.