Hey, it's that time of year again for me to repeat the little I know about this subject - we are having a 'heat wave' in Britain with temperatures as high as an unbearable 90 F, though thank goodness they're only hitting 80 F where I live.....
The pre-air-conditioning solution to this problem featured on Land Rovers intended for use in tropical regions and it's called the 'Safari Roof':
The normal roof of the Land Rover has a second cream (hey that was as white as they could get in the 1950s!) roof above it, so there is a constant airstream between the two that carries away the radiant heat and keeps the Landy's inner roof at ambient temperature. Naturally the near-vertical side windows and windscreen of this old design help with cutting solar gain - but that's one reason that body shape is still used today.
Of course it relies on the movement of the vehicle to work, but a similar system on a teardrop roof supported on pegs would probably work in all but windless days.
And the inexplicable bit is why did they go to all that bother with a safari roof and then put in those curved roof-edge windows for the sun to beat through?
Andrew