the batting choice really determines how it should be finished- some batts are good for tied quilts- some are not- it would be difficult to hand quilt/stitch it with polyester fabrics. if your quilter is willing to work with it made from polyester fabrics. if she says go ahead with a backing of your choice & a batting- then go for it
i would probably get a cotton for backing- but a blend batt- like hobbs 80/20 and go ahead & have it long-arm quilted.