There is no way that the housing is 100% unique to that one factory. There's two sizes of standard shift housing. The small stuff and the large stuff. You simply need to pull out and measure the stuff that is in your frame.

And while the housing mostly comes with black plastic on the outside a little effort will find other options with different colouring.

Nothing in your post or the previous posts says if the frame uses full length housing or if the frame has stops in the cable holes with just a nylon guide tube inside the frame. But either way a length of 1/16 music wire from a local hobby shop that caters to model railroaders or radio control models will work great as a fish wire. I'd suggest leave the one end straight and bend a small "L or "U into the other end. The wire is springy but it can be slightly curved pretty easily to encourage the other end to find the hole at the far end of the frame tube.