I would lay them out in the cold and let them freeze for several days or a week or two.
Do you know the brand name of the batts? Different polyester battings are manufactured in different ways. If you tie the quilts using polyester batting, you need to place the ties fairly close together. Depending on manufacture, polyester battings may or may not hold up to repeated washings when tied. For tying, you would be safer using Warm and Natural batting with scrim (the kind that says you can quilt 10" apart). This is a very stable batting that will hold up to repeated washings even if ties are not 2" apart.
If you are going to tie the quilts, my recommendation would be to purchase W&N batting. I would still freeze the polyester battings to see if the odor will come out. If it does, I would either save them for hand or machine quilting or donate them to a charity that will hand or machine quilt them.