If you are using an AC filament supply, you might want to bias it at about 60-70 volts above ground so it can't cause secondary emission. If the filament supply is grounded and AC, hum seems pretty likely.
You could also be dealing with a ground loop. First, make sure that the grid and cathode resistors of the first stage tie together at the same point- and then ground that point to the power supply. Do the same for the power tube.
It would be a good idea to check your High Voltage supply to make sure its actually doing what its supposed to. Put an oscilloscope on the B+ line; it really should look like a straight line even if the scope is at high gain.
You could also be dealing with a ground loop. First, make sure that the grid and cathode resistors of the first stage tie together at the same point- and then ground that point to the power supply. Do the same for the power tube.
It would be a good idea to check your High Voltage supply to make sure its actually doing what its supposed to. Put an oscilloscope on the B+ line; it really should look like a straight line even if the scope is at high gain.