Actually I think it would be simpler to use a standard router table, and pass the rod horizontally past the bit. You would need some sort of jig to hold the rod properly for each pass, and the appropriate bits to form the shape. This video shows the basic technique
You might have to invest in a couple custom router or shaper bits to do your exact profile, but I suspect it would be well worth it for the efficiency improvement. You would need one for the sides (since they're symmetric all you need to do is flip the stock end-for end) and one for the top.