We had huge problems with earwigs where we used to live. My brother tried straw bale gardening, and it all got eaten up by the bugs, if I remember correctly. We put cardboard over our garden paths and the earwigs used the cardboard as apartments, and they didn't even pay rent, either...just dined and dashed....
Yes, earwigs can be an issue in straw. I have them here but they don't do too much damage. There is a product called Sluggo Plus that will get rid of slugs, snails and earwigs and it's still safe to use on produce that is going to be consumed. Earwigs are also attracted to olive oil with a dash of soy sauce in it. They will crawl in by the thousands and drown. It's very satisfying.....LOL.....