I misspoke about the 20A capacity. What I meant to say is that my meter was beeping indicating that I was exceeding the 200ma scale.
You have to stop and think for a moment about even 200mA+... Would that not either pop the amp's fuse or cause the tubes to visibly redplate? From experience I can also tell you that once the current runs away and gets over 100mA per tube, you'll start hearing an odd hum show up in the speaker.
It seems you figured out what was going on, but this looks like a good lesson in "don't always believe the meter," especially if you have extra evidence that contradicts what the meter says.
That said, I understand it's hard to be confident in your reasoning, or keep from wondering if you'e doing something wrong in one measurement but not the other.
Last bit: I've killed some meter functions before trying to measure voltage with the meter leads plugged into the current sockets (creates a dead-short from high voltage to ground). Usually, I've found that inside the meter, one of the several fuses popped and the meter was easily repaired by replacing the fuse. The mid-range and nicer DMMs have 2-3 fuses inside for just the situation (my Fluke and a previous Wavetek meter had spare fuses in a holder inside as well).