Press your seams open, nice & flat. If that doesn't make it easier you can hold the ( raggy edge overlaps) up and stitch underneath them right up to the seam, not catching the bulky part. It does mean a stop,start at each block. You stitch to the seam, under the bulk, fix stitch, stop, cut move to other side, start as close as possible to the stitch line under the bulk again, keep going across the row. I had to do one that way for a Denim, corduroy, batting, raggy. It was slower ( but not really because I didn't have to fight with those bulky overlaps.)