Your last requirement is flawed. A keyboard doesn't have to be membrane. Any low-profile keyboard with 104-keys/full size, LEDs, and wired can be good-enough - with good-enough switches. (1) Figure out which switch 'type' you want (YouTube: keyboard switch test). (2) Lookup on any decent site: "keyboard low profile flat" or "keyboard low profile [color] switch".
- Only one I can think of that's good (for me) is Cooler Master SK650. It's available in 104-Keys or TKL (ten-keyless). 104-Keys is ~70$ on Amazon. Switches are Cherry MX RGB Low Profile Red (linear/silent).