I've read you might be able to use magnet to guide the cable through an aluminum frame. I've also read that some people put a thread in one hole and use a vacuum cleaner to suck the thread through the other, then tie the end of the cable to the thread and pull it through. Either way, put some super glue on the end of the cable to keep it from unraveling.

I have an old Klein that uses the same routing. When it was new and I first built up the frame. I was able to wiggle the cable through the hole somehow, but as I recall if involved lots of beer.