If you can determine the DC voltage being generated from the rectified AC, you could apply an appropriate DC voltage to the bridge rectifier. Or bypass the rectifier and save the 2 diode drops.I would try to replace it with another power adapter, but if the circuitry is indeed AC then I'll have to give up
Transformers don't work well with DC.I though the transformer was DC and since didn't get any voltage I though it was shot.