I've decided on the style of amp to use. With one cell of power, a small voltage amp stage followed by a Sziklai pair emitter follower seems to provide enough power to headphones. The voltage stage, with pots on both the collector and emitter, gives a nice range of clean to dirty sounds. You can see the rest setup below.
The adjustment process is a little weird. The collector register has to be tuned to the emitter degeneration in order to provide the right offset for the current output stage. Along with the volume control at the input, that makes for three knobs. I've sketched out an intriguing layout and am testing it with some scrap pictured here.



