The limitation for an oversize king is not going to be the frame; it's going to be the harp size on your domestic machine.
One way to get around the limitations of a machine's throat size is to mount the widest side of the quilt on the frame, quilt to the middle, then remove the quilt at the halfway point (roll would be filling the throat by this time) and re-mount from the other side. Lots of quilters do this, but I think it is more often done on queen size quilts with a Juki or other 9-inch throat machine.
I think it would be possible to quilt a large quilt like this with the batting cut into sections, similar to the way one would split batting into sections for quilting on a table.
The limitation is how much rolled up quilt can fit under the arm of the machine.