Interesting observation on another forum;
If you play an old-school piezo-bridge acoustic-electric, IME the low-gain input of an '80s Peavey Bandit 65/Special 130 1x12" combo is as good as it gets for live performance: the limited frequency response over ~5kHz filters out the nails-on-a-blackboard highs and "quack," and since the Saturation control in the Lead channel is defeatable you can set up a separate level for single-string leads or fingerstyle - used one for years with my first-gen Ovation Custom Balladeer, and it actually sounded like a loud acoustic guitar rather than what presently passes for "acoustic-electric" ...
Unless you want to add a modelling pedal (TC ToneRes? Zoom A1 Four?), it sounds like your current approach is the best one.