Such small power rails are VERY restricting, particularly when you're using tone controls, it will be very easy to clip the signal through these stages!.
There's no need to be concerned about the opamp power supply and that for digital potentiometers, you should run the digital side off 5V, and the opamps off their normal far higher supplies, preferably using a split supply. There's no problem doing so, most digital poteniometers used in audio circuits won't restrict the audio to tiny supply rails.