Is it definitely the transformer that's creating the noise? If so then as John says above, it's not just the voltage you need to look out for, it's the wattage the transformer can generate on the output. Large heavy duty power transformers do hum, but small ones inside cabs usually don't and you find it coming from interference to the speaker, usually not grounded properly or an additional capacitor needed somewhere.
You can disconnect the transformer and remove it, and apply a fresh coat of laminate or use bees wax. Bees wax is the easiest to get hold of and is simply melted in a double boiler. You dip the transformer, just the block, into the wax and agitate it so to remove as much of the air bubbles as possible. Once done, remove and let sit to allow any access to drip off and harden. You can then connect the transformer to the mains and check the voltages on each of the leads before putting back into the equipment.
If a transformer does vibrate over a long period of time continuously it can generate heat, which can degrade the laminate causing a failure and shorting the transformer.
Very few toroidal transformers, or ordinary transformers for that matter, have enough of the right output voltage/wattage in a single unit and you may find you need a couple, off the shelf , to match the right requirements, or get a second hand one that still works.