Are talking about flinging it around when you are sewing your pieced blocks together or are you talking about when you are trying to quilt it after it has been sandwiched? I'm not sure rolling it when you are sewing your pieced squares together would work too well although it might. But like the others said - regardless whether you are just sewing the pieced squares together or quilting the sandwiched quilt you should try and maybe use your ironing table next to where you sew to help keep the quilt more spread out.