Well IDK this model, but it might need some signal from another PCB, to be able to power up fully. What all chips are on the PSU PCB ? At some point make sure they all get power. It could be mainly just discrete BJT circuits, I should find the schematic.
Go on youtube and watch some stereo PSU repair video's. You can check a lot of stuff un-powered, with just a DMM. And I'd solder on a some test wires, like on the GND of the secondary side of the transformer, maybe after a rectifier.
Resistance on a DMM can sometimes be good enough to check a transformer, but yeah I know what to expect. The best test for your transformer, is just plug in the PSU, and measure the transformer AC output, and it should lead right to rectifier circuits, and have a pretty stable DC level, a few volts ripple maybe. I need to look at the schematic.
Also, if time is no concern, you could remove most of the caps, at least the electrolytic ones, and check them. Then with them out of circuit, un-powered with a DMM, you probably would find most stuff that could gone wrong on a linear PSU, like some diode or resistor. or bad BJT.
Are any of the relay's part of the power supply circuits themselves ? They go bad, but also need control signals, that probably comes from the main MCU somewhere on another PCB. But it's not hard to make a little circuit to turn on a relay, if that signal was all that's missing.