The only downside of binding by bringing the front to the back or vice versa, is it results in a binding of a single layer which may wear thru quicker. As far as raveling goes, the batting isn't going to make a difference. Before you sandwich, go over all your seams by giving them a slight tug. If raveling was intensive it may have gotten to the point where the remaining seam allowance doesn't support the seam. If you have a seam that opens, use a bit of light fusible interfacing to bridge the gap. MUCH easier to fix before quilting!