I think the issue with the static is that potentially the batting fibers are clinging to the fabric fibers and as the fabric fibers shift and move, the batting fibers cling and move with it and could move between the holes in the fabric enough to show on the quilt top. We all know quilting is quite the exhausting process and there is a lot of movement, and the same with washing a quilt.
OP, if you try the anti-static spray or try washing again with a dryer sheet in the dryer, I'd be curious to know if you have any resolution. Certainly hope that you do. I've never used a wool batt but I know many board members love it.
Is the bearding where the quilting holes are? Is it all over the fabric? The suggestions regarding blunt needles and tension would make sense if it's just where the stitching is, but if it's coming through all over the fabric, I wouldn't think it applies there.
eta: I dry my quilts with a dryer sheet and haven't had any problems, but again, I have never used a wool batt. Just cotton.