Memory-foam mattresses have the same problem apparently. I have one, and am looking into a dust mite bed casing (~$100) to prevent the chemicals from getting into the air...
We spend a lot of time in our beds (at least we should), so we should take everything about it very serious!
We recently switched to a bed that strictly consists of natural materials like wood, latex, cotton and natural rubber. Absolutely no metal and no toxic additives. Costs as much as our car, but is worth every cent. Sleeping feels like holiday now. I also can smell the difference.
No, I'm in the EU and bought it from a local dealer. However, I wouldn't order such a bed without having tested it. There are some parameters like the thickness and the softness of the mattress that should be adjusted to your needs, but maybe the Manufacturer ships also to the US when they get an order.
I'm surprised this was only mentioned so tangentially. Memory foam mattresses are quite popular, and I would wager their users spend considerably more time there than on a couch.
http://lesstoxicstuff.com/2011/09/how-to-reduce-your-familys...