I would not take the chance on hair spray or a hair product to spray baste a quilt. Way to save money: 1. watch JoAnn's for 50% coupon and purchase a can of spray baste or 2. try glue basting. I use the JoAnn's spray by Spray-N-Bond. It is not found in the quilting areas but in the accessories area, buttons etc. but clearly states "made for sewing, quilting, embroidery and does not leave residue on the needle.
I have not used glue but many on the Quilting Board have and find it effective.