I have used glue with poly. I put the glue on the poly, then put the backing on, flipped over, did same with top. The thing I didn't like was that the poly "shifts" as you quilt. Can't really explain it, but you will feel it when you quilt it. Cotton will adhere to backing and top, where with poly, the fabric will be attached to top of batting, but middle can move or shift. You have to keep the sandwich taut as you quilt it or you can get pleats on the bottom. It is definitely doable, you just have to check the bottom often.
Maybe you could use a hair dryer to help dry the glue?