Would consider a LPS on the second media converter and then Ethernet direct to your player.
There, I said it. The optical fiber may have a nice audible difference. The rest I believe is not worth the time and effort. Have used fiber in several systems. The one that showed the most benefit was when fed a Verizon fiber connection.
Also tried a Cisco Catalyst 2960 via copper connection on the router side. It was ok but not as good. Will try that side with fiber from the Cisco soon.