I would think something as lovely as your cross stitch panels would not lend themselves particularly well to the function of a quilt. That is, a quilt that would be used. Maybe wall hangings? As a wall hanging, each square could be padded with batting. You wouldn't need much quilting if it wasn't going to be actually used/laundered/drug in the dirt/used as a fort.
I'm not much help. Someone will be along who has done what you suggest.
Just before I hit the "enter" button, an image of a bed spread with those panels came to mind. Lovely. Not too fluffy, with each panel bordered in a matching green with some texture. Hmmm. I hope someone can help you.