You might use 2 colors for all the chains going left to right and the other 2 colors for all the chains going right to left. This would be for a double chain. Another suggestions is add one more color and do a triple chain using say the yellow for the center chain, add 2 of the colors for all chains going left to right and the other 2 colors for chains going right to left.
Irish Chain is on my bucket list for this year.