Hmmm. I would try to put a light weight fusible interfacing on one piece. Don't know if the lycra will even take high enough heat to activate the adhesive. If it works, maybe make the quilt mostly cotton with some of the lycra as pieced accents? If it doesn't work, maybe try cutting one in strips, folding it in half and making a ruffle? If it were me, and the fusible didn't work, I probably would suggest a dance related cotton fabric theme instead.