I use Elmer's glue to sandwich all my quilts. This really eliminates the stretching/shifting of the minkee. Once quilted, I wash and dry it. The Elmer's goes away and the quilt is nice and soft!
You asked about fleece as well. I LOVE putting fleece on the back of my quilts. Fleece and minkee both seem to "absorb" the stitches so they are not so obvious on the back. Fleece launders real well too.