@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.