I don't know if the Best Press will work, but if you can't find anything else, there's an anti-allergy wash additive by Allersearch called Acaril. It is for dust mite eradication, but it was what got the musty funky odor out of several loads of linens and stored clothing I recently washed when nothing else had worked. I just wanted to kill the mites since I recently learned I am very allergic, so I was surprised when the load came out smelling fresh when even bleach hadn't helped with the smell. And I don't use anything with fragrance, so the smell was really gone.
It seems like a lot to pay for a small bottle, but it might be worth it to salvage that much fabric. Whatever you do, good luck!