I don't have much circuit expertise, but in theory I believe demodulating SSB can be done by mixing (multiplying) a sine wave 2x the SSB center frequency, and summing that with the original signal (and then filtering the large frequency residues of course). This brings the opposite bands next to each other (then you can demodulate as DSB normally).
Analog multiplexers work fine for dorect conversion receivers, so you could just take the audio from the mixer output.
Sadly that gives you audio from both sidebands.
If you mix in some passives or actives a Phasing receiver could be built to do away with the unwanted sideband.
Or maybe one could use the Weaver method for ssb demodulation. But Weaver has it's problems with the switching frequency breaking thru. But that's less of a problem on receive.