I've recently acquired a 5440b that the courier has smashed up by dropped it on its front. Thanks UK DX Freight!.
Blimey, that must have ended badly. 5440B is huge and very heavy.
If your VFDs are bust don't loose hope - I bought mine 5440B very cheaply as it was parts & repair and oh boy there was a lot to repair, but even worse, it was missing the Display Board PCA, so so far I've only used it via GPIB.
I'm working now on 2 PCBs to replace the displays - one with 12 x 16 segment green displays and pretty much the same logic as the original (two shift registers, but one being a LED driver). The other one will be a 20 x 2 LCD negative display with a small STM32F1 to read two serial lines, decode them and send commands to the HD44780.
How loud is the hum from your guarded transformer?
How warm should R1 on the outside guard regulator run?
The guarded transformer in this has a hum that's about as loud as the fan and R1 on the outside guard regulator has obviously been hot for a while as it has cracked the resistor, cooked the board.and lifted tracks. Attached are front and back pictures of the cooked PCB with the new R1 in place.
AFAIR that's a common problem, I've seen one of these power resistors mentioned here on the forum before. I've replaced them on A10 and A17 boards.
Regarding the transformer it is hard to say, there is some hum for sure. Recently, I've replaced the fan so and I thought it comes from the fan - huge full metal heavy 110 VAC fan without any rubber mounts is going to make noise.
My tip is not very original - measure all the voltages. Fortunately, most important ones are accessible on the top on the test pins, often labelled. This way I've discovered problems with multiple power supplies on mine (AFAIR 5V digital and 5V and +17V analog) and the dead switches in the DAC that were loading the reference from 13V to 2V
Also, via GPIB you can issue self-test commands and observe the output on the serial port at the back.
The service manual is quite helpful in both tasks.