The "Nickel Wonder" is built and it works!
Thanks PB for suggesting it. I've already learned a lot from the experience ... but about 95% of that was moving things from the "unknown unknowns" column to the "known unknowns" column. The actual differential circuit still confounds me, but that's ok, at least now I know what I find confusing and it gives me something definite to figure out.
In more practical terms, I learned that layout is H-A-R-D. I failed to take into account all the ground wiring that is involved in "star grounding" when planning the layout; and trying to find a good path for the signal wire away from the transformers is all but impossible! But I had a lot of fun. And now I have something to experiment with. The first thing I want to look at is DC rectification and ripple smoothing -- in no small part b/c it's the only important part of the circuit that I sorta understand. The Nickel wonder uses 2 diodes to strip out -ve current, but I've seen that many amps use 4 in what I think is called a "bridge" structure. I might play around with that and additional/different ways of smoothing the DC. This will give me a reason to learn to use my o-scope. It should be pretty simple to run a sine wave tone through the preamp and actually see the rectification and smoothing -- which will be cool.
Listening wise: I was expecting the Nickel Wonder to sound pretty poor, but it is actually quite listenable when put in front of the S2. I particularly like what it does to treble -- it seems fuller-bodied and livelier -- but also a lot less detailed. The two observations -- fuller/livelier and less-detailed -- may be related. I've previously noticed that upgrades/mods that give greater detail often make the sound seem smaller and thinner. The mids of the Nickel Wonder are fine. But the lower bass is absent. I have high hopes for the BeePre in front of the S2.