Assuming OP was trying to avoid buying the 3rd seat, 59JK was the way to go. While this thread is old, I'll make the point out for any other readers, the wide body fleet often has a row or two of two-sies near the back. These are great for couples who don't want anyone else sitting next to them. There is also the chance for a slight bit of extra storage as a the curvature of the rear of the plane gradually comes in.

The downside to these seats is being close to the law and the traffic it brings, but on an overnight flight this isn't always that bad.