very very very likely that one of the secondary diodes has a shortcut. So before you solder out all the caps, first try to make some measurements instead of a try-and-error-repair :-)

There's only one big dual-diode (looks like a transistor in the metal-housing) which is probably the bad one if you describe that clicking-sound. It's overcurrent shut-down, because that diode has a shortcut. Try to measure with an ohm-meter one of both contacs at the soldering side with the housing of that diode. There must be one good and one with less than 0,5 ohm. Else try all the diodes vertically mounted, they could be bad too