I think you would have to have a rack to keep the cotton from shifting around while quilting unless it was basted really, really well and even then I would worry that all the handling would shift it around prior to quilting the area.
And you would have to quilt very densely. No less than 2" apart. I have a roll of Mountain mist cotton batting that is at least 15 years old. No scrim just the cotton and the package says maximum distance for quilting is 2".