as ralph said
audio research figured this out and thus implemented differential amplification circuits long long ago...
The best way to implement fully balanced circuitry without transformers is to go fully differential. This does not require 'twice the circuitry'. Add about 50% and you will be closer. And there are advantages: for example for a given stage of gain, you can have up to nearly 6dB less noise, and distortion will be reduced as well. In addition the circuit is far less sensitive to power supply noise and of course can reject noise at its input caused by hum fields and like impinged on the interconnect cable.
audio research figured this out and thus implemented differential amplification circuits long long ago...