Look into slope detection. It is a low fidelity conversion of a constant envelope signal (FM) by an AM receiver. To do it, you need full control of your SSB receiver (RX freq, etc). If you tune the SSB slight off frequency of the RX signal, the frequency deviation of the signal will begin to look like amplitude modulation, which a SSB AM receiver can demodulate.
I used to slope detect the audio signal from local TV transmitters with a spectrum analyzer's AM demodulator.