So, how to use Wifi, without using WiFi :d
So, assuming you have WiFi in the home, you could create a Wifi bridge, and then connect your Server to that via the wired connection. There's some good content online about how to do this with Apple Airport express, and Google WiFi also offers similar capability. In practice, you can connect almost any Wifi capable router in "Bridge" mode and use that instead of cabling. The usual downside is network latency, but that really doesn't matter for audio applications. Some WiFi devices can be noisy as well, but not that much worse than wired. the usual issue with WiFi is crappy signal strength causing dropouts, but in a short-run bridge (i.e. within the same room), this is rarely an issue. Apple Airport can connect to any WiFi network, you don't need an Apple router as your main WiFi hub.
Connecting the WiFi bridge direct to your streamer/server might be fine for you, but if you want to step up a notch, add another switch between the wireless bridge and your server/streamer - a basic cisco 4 port would be fine, but an EE 8port or Fidelizer Etherstream will clean up the noise from the WiFi device (or an SotM switch if you are feeling really lavish!!). It's not as good as Wired, but will get you nearly there.
An alternative solution is to buy a very long run of
flat Cat7 cable (you can buy this as cable, or pre-terminated). The flat profile cables go very neatly under carpets, and don't need to be run under the floorboards. It;s the same spec as any other Cat7, but the flat profile is not as durable as the round cables - totally not an issue for an under-carpet install, where it's never going to get twisted or pulled about. If you are happy to lift carpets, this fits very neatly beside the 'grip-strip' that most carpets have fixed at the edges. It's also almost always narrow enough to go between traditional floorboards. A bit more faff than WiFi, but not that much work and you get a decent wired connection without tearing up the house