Just my two cents here, and maybe I don't do enough but here's exactly how I do it, and I just cleaned about a dozen last night.
I save them up in a bucket and when I get maybe 10 I throw them in the washer with at least a cup of bleach. No soap, nothing. I run the 2.5 hour steam wash cycle ( i have one of those cool new front loader washers that has steam hooked up to it). I add a prewash cycle and an extra rinse cycle too. After that, I run the same settings with no bleach.
They come out damp and they dont smell of bleach at all. Then I put them out in the back porch to dry for 2 days. Just to make sure the bleach if any if left evaporates.
I have been doing this for four years almost and have had zero issues. Of course i wouldnt use them if they ever smelt like bleach but I check every single one and its always good.
While I applaud your diligence it might be overkill. lol I worried so much when I first did it and only did one at a time I was so paranoid but it worked out.
just my thoughts