I've finally got progress to report!
We powered up and got glowing tubes!

However... only the tiniest hint of sound.

After running the ground wire to the front panel and knobs (d'oh), we got... not much of anything.
More careful inspection and thinking. Measuring (what a thought). Wait, that 470 Ohm 5 Watt resistor should have actual voltage across it! Oops, I ran the red lead of the output transformer to ground, not high voltage.

Ok, after fixing THAT, I powered up and was greeted by...wait for it... LOUD oscillation. Scream.

More looking, poking, fiddling. Thinking. And, most crucially, surfing the web. I got a couple of ideas, and disconnected the feedback. The oscillation went away! Of course, all the sound went away too, so not totally optimal. But, it got me suspicious that the output transformer phasing might be backwards. Sure enough, swapping leads led to actual functionality!

I do have to admit that the photo of a guitar plugged in is from when it wasn't really working... Gotta get Carl and the guitar back out to the shop.
I'm still fiddling with the meter; Carl wants it to move when things are playing. It doesn't actually need to display anything useful or quantitative, just look cool! Thus, I hooked it across said power resistor. With some fiddling and capacitors, I got something that bounces nicely with the beat. However, when I bought the final parts and, um, added a couple of things... it didn't work. More fiddling.