I would use the thicker of the two (or maybe use both?) as the original was a bit thicker than those. For the copper one, simply file the O.D. down a little if it's too big. See how your adjustment comes out. If the plunger comes out past the adjuster then a thicker washer (or double) could go in there.
If you read the description for Mike's new style rubber/metal washer, you'll see that they claim it can be retro-fitted to older models. Being that it's nearly twice as thick as the original copper washer, it presents one small problem - the plunger will no longer be flush with the adjuster when set at the correct tension, it will be inset. This makes setting the tension rather difficult as you can't see the end of the plunger. If you tighten the adjuster enough so the plunger is flush, you'll have no movement and the chain will be too tight. They fail to mention that little tidbit in their sales pitch.