Cat 5 cable is pretty amazing stuff. It’s built to carry very high data rates with minimal dispersion over long distances, and it works!
I know somebody who wanted to have a PC they could access in their shed and indoors. He wired the keyboard, mouse and SVGA data signals down 30 metres of CAT 5 cable buried under the lawn. Normally SVGA deteriorates even more than USB over long distances, but his set up worked perfectly.
Then again, I think he paid an arm and a leg for the connectors (impedence mismatches can be a nightmare if you bodge the cables together), so probably best to try a simpler solution first.