The extension lead thing will be useless in this case - it's only of use where there are 2 RCDs, and the suspect appliance can then be connected to a circuit on the other RCD.Thank you in advance for any advice.
As you only have one RCD, moving it elsewhere will achieve nothing.
Switching off MCBs will only remove the fault if it's between L&E. Given your description already, it isn't.
Same as switching things off at the socket - most sockets have single pole switches and don't disconnect the neutral.
Items that are plugged in and not in use can also cause faults.
If you want to rule out particular appliances, the only option is to unplug those things and see if it trips,
As your fault appears randomly with several days between trips, that isn't going to do much either, unless you have weeks or months of time to waste on this.
The fault could be one appliance, or several, or wiring damage, or water getting into something, or several unrelated faults which combine to cause the trip in certain circumstances.
The label on the consumer unit indicates it was installed 32 years ago and hasn't been inspected or tested since then. Those gaps between the circuit breakers need to be filled as there are live parts inside.