Firewire is outdated and most likely not what you need.
If you have an ethernet port on your laptop (or you're willing to add a wireless router in your room), maybe try powerline networking ... you plug one device in your room and the other in an outlet near the router/modem and the traffic goes through the power cables to your room.
It's less sensitive to microwave ovens but devices that suck a lot of power or induce "noise" into the power cables can affect the speed/latency of data.
You can get starter kits for 40-50$, here's some examples:
Amazon.com: TRENDnet Powerline 500 AV Nano Adapter Kit, TPL-406E2K, Includes 2 x TPL-406E Adapters, Cross Compatible with Powerline 600/500/200,Windows 10, 8.1, 8, 7, Vista, XP, Ethernet Port, Plug & Play Install: Computers & Accessories
Amazon.com: TP-Link AV600 Powerline Ethernet Adapter - Plug&Play, Power Saving, Nano Powerline Adapter, Expand Home Network with Stable Connections (TL-PA4010 KIT): Computers & Accessories
Amazon.com: TP-Link AV1000 Powerline Ethernet Adapter - Gigabit Port, Plug&Play, Power Saving, Ethernet Over Power, Expand Home Network with Stable Connections, Ideal for Smart TV, Online Gaming (TL-PA7010 KIT): Computers & Accessories
There's also starter kits like these where the device you put in your room is also a wireless access point
Amazon.com: TP-Link AV600 Powerline WiFi Extender - Powerline Adapter with WiFi, WiFi Booster, Plug & Play, Power Saving, Ethernet over Power, Expand both Wired and WiFi Connections (TL-WPA4220 KIT): Computers & Accessories
Amazon.com: NETGEAR PowerLINE 1000 Mbps WiFi, 802.11ac, 1 Gigabit Port - Essentials Edition (PLW1010-100NAS): Computers & Accessories
I don't have personal experience, but I would imagine the increased threads and core count would improve performance in some more modern games. Hardware unboxed review of the 3700x includes the 7600k, so it's should give you a fair idea of performance gains. Overall though I'd say for gaming you probably won't notice a huge difference as you already have a pretty great system