How about, place pots on ground, under the bench, and overturn the styrofoam on top of them? Then you get some ground warmth and, it won't be totally sealed to airflow. But.. some critters might find this nce refrigerated treat to eat.
Once you prop the lid open, are you really gaining much (temperature moderation)? It's not as if the pots generate their own heat- just that you're avoding the nightly swing to very cold, right? What if you have string of cold weather?
And, do you need much? Hardy to zone 3.
I have no experience to back this up but wish you luck.