I wouldnt worry too much about the router as its being fed noise from all over your network. I would concentrate on isolating your streamer/hifi from the network, first with a dedicated switch ideally with an uprated quiet PSU. This will act as buffer reclocking and transmitting a fresh signal, removing a large amount of the high frequency interference from the ethernet signal, from there run the best ethernet cable you can afford to the streamer. You can also add a passive filter in here which would clean up the signal before you reach streamer.
Router > Standard ethernet cable > Switch with quiet psu > your best ethernet cable > Passive ethernet filter > Streamer
You can upgrade the router too, but anything happening before the switch is likely to have far more subtle effect on SQ. I would add a simple switch D-link DGS105 with an ifi ipower PSU, both can be bought and returned from amazon for $70 and this should give you a noticeable improvement on its own, or atleast is very good risk-free way of experimenting and see if you like the results.