For current also there won't be much noise in the wires as the wires are shorted directly through the 0.2R shunt. If you get 22mV of noise at the end of the wires then according to ohm's law you would have to have 100mA passing through the shunt resistor to be able to generate that voltage difference. Think of it like this, would you expect to measure any voltage when connecting a voltmeter to both ends of an unconnected 1m copper wire ?
Also, what ADC are you using ?
PS: You could multiplex the input of the ADC to measure voltage & current on the same ADC.