When did you purchase the batting? I saw postings on a longarm group that Hobbs had a problem with an entire batch of their wool batting, and I think it was their Tuscany wool. However, the problem was quite a few months ago. I suppose some of that bad batch could still be sitting on a store shelf somewhere. In any case, I think you should contact Hobbs and include photos.
Regarding Quilter's Dream wool, a QB board member had significant problems with it awhile ago and I see mention of this problem crop up in a post once in awhile.
sails, I would be interested to know if using Static Guard on your quilt helps. All of the bearding problems I have seen in the past related to machine quilting, not hand quilting, so I was surprised to see it can be a problem when hand quilting too.