I don't know how big a LA machine is but the way you talk it must be about 120" and isn't that the max of most machines. I bet this weights 40 - 50 lbs. It would be beautiful to quilt inside each piece and not cross the sides but the work on that would be unreal and expensive. But for this one it would be well worth it. I don't think personally LA ing would take away from her stitches. I would say quilt it plus quilting it would help to stabilize it more also.
It is a strikingly beautiful top. I would love to see it finished.