output voltage 27 Volts to 31 Volts (from 54 Volts Peak-Peak, to 62 Volts
Peak-Peak). and
Output Current at : 1.0to 1.5 milliamps

The output transformer is a good idea since the maximum power is just
46.5mW for a square wave signal, the problem is what frequency range
do you want handle on that output?

Tranformers have different bandwidths due to their construction
characteristics.

If the signal you want to handle with it is a complex wave (not a
simple sinusoidal one), computing the high frequency limit of the
transformer's bandwidth consider the signal's harmonics too.

Massimo