The wood glue seems to bond very well. Half of the sandwich needs to be able to adsorb water from the glue and allow it dry, so no plastic.
What are you lining the all foam hives with to stop the bees from chewing?
I tried the wood glue a couple days ago to glue hardboard to foam. It seemed to bond as strong as the gorilla glue.

That is GREAT news since using the polyurethane glue is SO messy. When I tried to pulled the hardboard from the foam, it eventually pulled apart (as all glues do) but it took the top layer of foam with it. Can't ask for much more than that. I will plan to use the wood glue when making my next set of jumbo hives this winter.
On my forth generation of foam nucs, I decided to experiment a bit and see how cheaply I could make foam nucs. As you know, facing the foam with hardboard (or whatever) adds labor, cost, and time. I experimented with foil faced polyurethane foam available at Menards (a regional big box store). Didn't really care for that too much since I got a whole bunch of little metal slivers in my hands! I have also found the foil delaminates after about 4 years in my climate. Absent any good ideas for facing the foam, I just left it au natural to see what the bees would do.