Reddit mentions of AV Access HDMI USB KVM Extender, 1080P 60Hz Over Cat5e/6 up to 80m/260ft, 2-Port USB2.0 for Computer, No Signal Loss or Latency, Plug & Play Without Driver; with PoE and Adaptive EQ. with Mounting Ear

There are a couple solutions to running video from a PC to a TV over long distance (HDMI doesn't run very far).

1. SteamLink: Works mostly pretty well, but there are some weird gotchas
   
   
2. This: https://www.amazon.com/gp/product/B073B84CY1/ref=ppx_yo_dt_b_asin_title_o08_s00?ie=UTF8&psc=1
   
   I used to use the Steam Link method, but it was a little too troublesome, and doesn't really work if you want to play asymmetric local multiplayer games (all controller inputs quit the steam link software), and it had a ton of trouble with audio mirroring if the headset came unplugged temporarily. I've generally found the second option to work pretty well, though. :) It uses an ethernet cable to extend HDMI and USB over 50m from your TV area to your PC

USB-C isn't a long-distance form factor. It's designed for adapters and dongles a couple inches away, maybe a couple feet. Not 30 feet away.

Regular USB3 doesn't have any kind of video protocol in it, and trying to run gaming output over it is an exercise in sadness.

Corning offers USB3 or Thunderbolt 2 over fibre lines, for a lot of money and mediocre reviews. Besides, USB3 (as mentioned above) won't cut it, and the other elements of a Thunderbolt 2 setup (TB2 card for host PC and dock for other end) are expensive.

Do enough looking on this and you'll likely come to the same conclusion I have: you need to put stuff over some cat6 lines. There's plenty of HDMI over cat6 boxes, and a lot of VGA+USB2 (KVM) over cat6 boxes, but neither of those are quite what you need.

A lot of searching has found me this product, which will do 1080p HDMI and USB2 over a single cat6 line. There's some other variants on that product page that will do 2160p DisplayPort over a longer distance, if that interests you.

This will get you down to two cat6 lines: one for ethernet, and one for HDMI+USB2. Getting down to a single cat6 line would mean either running HDMI and USB over IP (all the solutions for that are shit) or doing a higher-level transport (ie the Steam Link).

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Side-note: Assuming you can do renovations to where you live, you should run some cat6 through the walls. If you (or someone you know) has basic home handiness skills and drywall repair talent, you can do it in a weekend. Otherwise, a professional A/V crew will run you $100-150 to run 4 cat6 lines from your entertainment center to your PC setup.

This is something like you're looking for. Ethernet KVM extender

https://www.amazon.com/gp/aw/d/B073B84CY1/ref=mp_s_a_1_3?ie=UTF8&qid=1519231390&sr=8-3&pi=AC_SX236_SY340_FMwebp_QL65&keywords=hdmi+kvm+extender&dpPl=1&dpID=51C0LYZUZoL&ref=plSrch

For the KVM extender. I'm not so certain it's the best option unless you NEED it to be one cable. You're not going to need cat7 if you're going that route. And probably shouldn't, it's not really standardized at this point. I don't have a link to anything I've used but it's been hit or miss every time I've needed it.


Let's go cheap though.

https://www.amazon.com/gp/aw/d/B0716WQGXS/ref=mp_s_a_1_3?ie=UTF8&qid=1519232071&sr=8-3&pi=AC_SX236_SY340_FMwebp_QL65&keywords=hdmi%2Brepeater&dpPl=1&dpID=41Cjp8ODTWL&ref=plSrch&th=1&psc=1
I have it, it works perfectly as an HDMI repeater. Use it close to the computer.

https://www.amazon.com/gp/aw/d/B005T3LKKM/ref=mp_s_a_1_7?ie=UTF8&qid=1519232203&sr=8-7&pi=AC_SX236_SY340_FMwebp_QL65&keywords=3ft+hdmi+cable&dpPl=1&dpID=51GfZIPjNZL&ref=plSrch
Use this to go from computer to repeater.

https://www.amazon.com/gp/aw/d/B00FX8Q3NM/ref=mp_s_a_1_12?ie=UTF8&qid=1519232352&sr=8-12&refinements=p_72%3A2661618011&pi=AC_SX236_SY340_FMwebp_QL65&keywords=100ft+hdmi+cable+2.0
This is the exact cable I used for my setup. This should take care of the main run of HDMI. Goes from repeater to your monitor.

https://www.amazon.com/gp/aw/d/B00I0T2V6O/ref=mp_s_a_1_4?ie=UTF8&qid=1519232631&sr=8-4&pi=AC_SX236_SY340_FMwebp_QL65&keywords=usb+over+ethernet&dpPl=1&dpID=41ghBtd5wgL&ref=plSrch
The usb to ethernet I have is discontinued. This looks similar but might have to shop around. You WILL need a powered USB hub at your monitor/keyboard/everything setup.

https://www.amazon.com/gp/aw/d/B01MU4TOA0/ref=mp_s_a_1_2?ie=UTF8&qid=1519232911&sr=8-2-spons&refinements=p_72%3A2661618011&pi=AC_SX236_SY340_FMwebp_QL65&keywords=cat6%2Bethernet%2Bcable%2B100%2Bft&psc=1&th=1
For your main run of USB. I have not used this cable, but I've bought from the vendor before and been satisfied.

Once again, YMMV and do not buy anything that can't be returned.

Purchase HDMI/USB ethernet extender and run ethernet cable from room with console to room with TV. That will give low latency output of the console on the TV.

Streaming through the laptop then out to the TV is a bad idea.

Alternatively just buy a cheap used Xbox and set it as your secondary console.