Try this.
1. Set modem to pass-through.
2. Connect Netgear to modem. That is the only connection to modem other than DSL input.
3. Connect printer, etc to router leaving 1 ethernet socket open.
4. Connect final ethernet to cable running to streamer, etc.
5. Get a network switch from Best Buy or somewhere and connect it to other end of cable in #4.
6. Connect streamer, etc to switch.
If you need more connections at the router for the printer, etc. get a second switch for those.
HTH