Have you done the border all the way around, and do you have a good amount of extra fabric in your backing on all four edges? If so, a LAer might take it on. I have a LA, and seems like it would work. But you do need enough backing on at least two opposite sides for the quilt to be attached to the leaders on the LA. (And, even if you don't have enough, you can always add a length of other fabric to the backing to extend it.)