I too am similarly sensitive. I put my PC in a cupboard rather than the next room. Read about my solution in
this thread.
TLDR: you want fibre-optic video cables and active USB cables and USB hubs.
I never used to be but it started when I bought a new graphics card a couple of years ago and it was so noisy. I managed to get it silenced by using an Arctic cooler heatsink and back plate but with only one 140mm silent wings fan strapped to it and it is silent and never goes over 60oC. But since then I could hear all the other noises and spent a bit of money getting it how I want. When I buy anew system I don't want to go through it all again.
I have no cupboard near but I think I will put it down the hallway a bit, I could put it just outside the room but it would be a trip hazard and at risk to spilt items.
Like you said, I already have my sights set on an active USB cable with up to 4 sockets. Also I will buy a dp-dp fibre optic from a known cheaper site
Altogether £70
It will be a while but when I test it out on the system I have now I will let you guys know how it goes.