I think that all you can really do is minimise distortion, you should avoid "overdriving" (clipping.) You may have a portable radio and with fresh batteries at low and medium volumes it's OK, but when you really turn it up it starts sounding crummy - some of that's distortion, over-amplification, and some of it is just exposing certain limitations of the amplifier.
This sort of electronic sound, derived from a noise generator or noise generation techniques, isn't instrument-quality. It sounds pretty nifty at low volumes, but there's a threshold whereat all of the faults can be appreciated.
Anyway, the LM386 datasheet shows a X50 example. It still uses the 10uF but with a 1200Ω resistor between it and pin1. There is also a "bypass" capacitor that can be connected between pin7 and GND. They don't give much guidance, text and example values from 0.1 - 10uF.
"When using the LM386 with higher gains (bypassing the 1.35 kΩ resistor between pins 1 and 8 ) it is necessary to bypass the unused input, preventing degradation of gain and possible instabilities. This is done with a 0.1 µF capacitor or a short to ground depending on the dc source resistance on the driven input."
Post Edit -- bonk inadvertent smiley