This looks like a problem with the H Voltage or switching power supply section of the TV set
. What you need to do is to measure the voltage from the HV transformer to the Anodes of the CRTs with a high voltage probe, and check the voltage output of the switching power supply. What may have happened is a component may have shorted out causing an over-current condition with is triggering the shutdown circuit (These are the relays you are hearing). I would check the Horizontal Output transistor or a driver transistor, and the components in that section of the TV.
In addition check the voltage test points on the HV / Horizontal and switching power supply board. This will determine if the section is working or not (most likely not). Make sure you have a schematic, and multimeter and a high voltage probe.
Since you have checked most of the common Items I am leaning towards one of the fuses in the system, I would suggest getting a schematic since switching power supplies can be tricky. Trust me I remember the days when a tech could find a fuse on a board easily
, those days are gone some fuses even look like ICs
now they are called digital fusible
to get a schematic for your set
I hope this helps,