If you can, get ahold of Dan Masters' electrical book for the TR6. It has a whole section on troubleshooting that applies almost as well to TR2-4 as it does to TR250-6. He said he was going to publish a TR2-4 version, but AFAIK that never happened.
On the road, I only carry a DMM ("shirt pocket" model from HF plus a couple of clip leads) so I do reach for it whenever there is an electrical problem. The voltmeter tells you if voltage is getting to your device (same as test lamp, just a little harder to read plus one caveat). Ohmmeter is great for testing fuses (I've had fuses that look fine but won't carry current), bulbs (ditto), etc. It won't directly measure enough current to be useful, but there are lots of ways to get some indication of current out of it.
The one caveat is that modern digital meters are very sensitive on the voltage range. If there is no load on the circuit, they will frequently indicate the presence of voltage even with the switch turned off, fuse blown, bad connection, etc. So the trick is to have the load connected when you check the voltage getting to it. One of the nice things about the old incandescent test lamp is that it is enough of a load itself to usually not have this problem.