[Tao332]

I'm running this to its ridiculous extreme. I'm imagining a keyboard layout that has duplicate keys matching letter frequency. The keyboard has to have 56 Es just to be allowed a Q. About 35 or so Ts. Etc.

The odds favor you getting the key you want, so it's best to not even look.

[WorldMaker]

That could certainly put a Quine in EQUINE. Mash the keyboard all at once to get a frequency chart that resembles the keyboard. That's your new keyboard.