Ahh thank you . The ground itself is not at issue since the boxes are a couple of inches or so off the ground to start out with. There is a mulch IN the boxes..but the soil within the boxes still gets alarmingly hot. Most plants seem to like cool roots I understand. Maybe I will put layers of cardboard faced with scrap wood on the sunny sides, so the cardboard doesn't fly away or melt/sag in the rain. That way I could also leave a 1/2 inch or so of air space on the sides...
I had thought of straw bales stacked along the sides but that would make the thing too wide to reach the middle of the beds.
That might help a bit with evaporation as well. The plants go through a LOT of water in these things as the bottom has open seams. Seems like this is a different sort of gardening sometimes

Thanks for your suggestion.