There is a way to create a quasi-balanced output from a single-ended source. Ashly (pro sound equipment) uses it, and it works.
From the single-ended signal ground connect a resistor equal to the output impedance of the signal to the (-) wire of a balanced interconnect. Since the (-) impedance matches the signal (+) impedance both wires will pick up the same noise, and this will be canceled in the balanced input circuitry of the power amp.
From the single-ended signal ground connect a resistor equal to the output impedance of the signal to the (-) wire of a balanced interconnect. Since the (-) impedance matches the signal (+) impedance both wires will pick up the same noise, and this will be canceled in the balanced input circuitry of the power amp.