I've made several lap quilts using minky. The ones I've made used 10" blocks of minky with a solid piece of cotton fabric for the reverse side. Whenever I find a beautiful piece of fabric that needs to be kept whole, this kind of quilt works out great. Other than the disgusting fuzz everywhere, just be sure that you don't stitch the stretchy sides of the blocks together. When I cut the minky blocks, I put a safety pin on the two stretchy sides. When piecing together, I know that I can't have my safety pins matching up.
I didn't use any batting at all and merely did a SITD quilting to hold the two layers together. Add binding and your done.