I thought it was a great idea and wondered if you could use a section of a 5 gallon pail for the rim on the other side.
Gamma seal lid.
Trim off the flared part of the ring.
Trim the off top of a 5 gallon pail. This is about 1.75" high. The Gamma seal ring just fits inside of it. Right now the distance between the two rings is 2" with an overlap of about 1/4". I can trim another 3/8" off the Gamma seal to get more overlap and still fit my 2" thick walls.
There isn't room as is to sandwich screening in between the two rings, I think you'd have to make a screen with a wooden frame. Of course you can't see through it with the lid in place but I have an application this would be perfect for. It would make a nice hatch as well.