I thought about using some negative feedback to clean up the noise I anticipated we'd have and to lower output impedance, but it sounded fine so I bagged it.
Negative feedback could be used to alter the apparent impedance of the amp, but I don't think it would do anything for noise except make it worse.
I had just been reading High Fidelity Circuit Design, by Norman Crowhurst, and he notes that since noise is a random event, feedback would have to be applied instantaneously to reduce it. There's always a very tiny bit of delay in feedback reaching from the output back to an earlier stage, so "instantaneously" is ruled out.
In any event, the amp has an overall gain before feedback, and we all know that as gain goes up, noise almost always goes up as well. With feedback, you still have the same amount of gain within the amp, but the apparent gain is reduced by the amount used for feedback, to alter impedance and/or reduce distortion.
So after feedback is applied, you'd wind up turning your amp up higher than you would without feedback, because the apparent gain is less. And noise comes up as you turn up the volume.
So an amp with a good bit of feedback will seem noisier than the same amp with no feedback.
Norm notes that the solution is usually to use feedback around fewer stages, and to design the amp to be as low-noise as possible before applying feedback. So no free lunch today...