Installing new wires in room with hardwood floors

I quickly searched and found this on Amazon:

https://www.amazon.com/RiteAV-HDMI-Ethernet-Cable-Floor/dp/B075DC34V8?th=1

I’m sure there are others available. 

Here’s the thing, you want a box made for mounting in a floor, with protection, as to install a standard box, receptacle, and plate, made for a wall, would allow dirt, dust, and possibly fluids to easily enter. A box, receptacle, and cover made specific for floor mounting provides some protection. The rest, as stated, is pretty simple for your case (simply feeding from the basement).

And would be much cheaper than dedicated floor boxes and protective cover plates.

there are good reasons to utilize floor boxes, but they come at an expense to do it correctly.