Home Depot sells a Water-based Contact
I've used it allot for my cabinetwork.
Works well, just use it in higher temps other wise it takes a long time to set up

I actual prefer Carpenters glue, I thin it about 40% and apply a thin layer only to the foam, then let set up over night with about 50 lbs of weight on the saddles,, has never done me wrong
So cheap it should be illegal!!