Transformer is just transformer ... verify its voltages w/o connecting it to the board in order to see whether it is still healthy.
And you may do that with any other fuse - if xformer itself is dead, fuse won't help ...
AC from transformer is only used in front panel VFD for heater, really haven't tried to use DC power supply for this type of front paneld, and in order to detect mains AC crosses zero volts, so in order to verify things it's ok to just connect DC instead of transformer for main board (using the same voltage as measured in AC mode), you always can disconnect front panel.
Just, if you only have 1-3 seconds until fuse blows, that's not right investigation path to continue using transformer.
Also you can connect one plug at a time - connect only digital 4-wire plug, verify voltages, then for 5-wire plug, do the same. This way xformer will see less stress. But do it very quickly - connect meter to measured part first, turn on, see readings, turn off.
Anyway, do whatever you can to detect whether the short is

Cool part is that there coululd be no 'short' at all, but some component that starts drawing current starting from some voltage, so in diode mode may look ok, but not in real scenario.
If capacitor is ok, voltage will raise, that's a good sign.