It would suffice if I could simply use the display to visualize the console and the keyboard to type commands in without needing any other device.

@Shlok-Joshi You have already had a "small Linux Computer" You should only connect the [OMEGA_TX, OMEGA_RX, GND] header of the Arduino Dock 2 to any PC with a [3.3V_logic_level_serial-to-USB] converter / cable. The Raspberry Pi Zero (family) is another category - I think.

We are trying to do this as well. Part of the "problem" is the fact that the Omega has no native video capability. We looked at the idea of creating an HDMI shield for it, but that is beyond messy.

Ed, even a phone could be a complete computer system, but still very expensive (for a nice screen and imbedded keyboard). If you want to go the inexpensive route, you have to compromise with the kind of devices that the computer will have. There are tons of single board computers out there, all with their own characteristics. Using the onion, you can add the OLED as display, and a few buttons as input, and off you go. It's very limited and requires imagination, but it certainly is possible. Kit, I love your Pi-Top suggestion. This one could be an excellent gift suggestion as well.