Common mode range, according to the datasheet, is -0.3 to +26volt.
But I see these chips always used high-side. Any reason you can't you use it this way.
A shunt in the + wire could be less problematic than a shunt in the ground wire.
Don't understand the 1-2volt part. Shunt voltage loss could be 0.3volt if a 0.1ohm shunt resistor is used.
Leo..