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Can I use white glue to attach blue insulation styrofoam to plywood? - Model Railroader Magazine
MACCO ADHESIVES LNP-903 QUART HEAVY DUTY LIQUID NAILS - GLUE
Listed for under $6 a Quart at an Ace Hardware Store.
Claims to be polystyrene foam safe.
However, the suggestion for using latex caulkingor silicone makes a lot of sense for keeping costs. down. Everything I've read/heard says that the carpenters glue just doesn't dry for quite a while, especially if near the center of a large block or sheet.