They were set up lean to fashion...
Clearwater, did you test multiple sheets? At some point, I'm sure it's overkill, but if one sheet of black plastic is good, it seems that two or three layers would be better?
I wonder if two sheets with an air gap would be better than a single sheet, or simply stacking two sheets together? Top sheet heats up and heats the air between the sheets. That pocket of hot air rises and drifts up and away by convection. Also, the inner sheet may help block the heat that gets through the top sheet. Anyway, just a theory.