I just finished a baby quilt and used minky as the backing. I used the downy quilt pattern for the front of the quilt. I used 505 spray basting to sandwich it together and used some pins just to make sure. I didn't do a lot of quilting, just straight lines in an X formation. I used my walking foot and shortened the stitch length just a tad bit. I was afraid to much quilting would ruin the minky. I used a low-loft poly batting. And used matching cotton fabric to bind it.
This is for the little boy of my DD and SIL's close friend. Jacob 3 and has been mostly blind since birth. I think he can see shadows maybe. Anyway, he loves to "pet" things and we thought minky would be a perfect back to his quilt. I just washed and dried it last night and can't wait for DD to give it to him.