I am slowly making my own theremin, and during my first experimentations, I used passive mixing for the pitch, that with the volume bias voltage on the same circuit. Something like:
fixed oscillator: ----||----|_______ command grid of the audio preamp
variable oscill.: ----||----| |
volume bias: ---------------|
Between the 3 oscillator's outputs and the command grid, all circuits was using passive components like capacitors, coils and resistors, and a diode for the volume bias, resulting into a general and messy mixing of the 3 signals.
The result was a very powerful and loveful sound, but with the volume oscillator influencing the pitch. At the pitch antenna, when the hand is moving away from it, the frequency was going from ultrasonic frequencies down to 0Hz and up again until a few hundred Hz then down again. It was really weird and fun to play with it, even if the instrument was not very usable outside very experimental performances (or as proximity sensor...). The 0Hz point could be set at a distance from a few centimeters to more than 1 meter from the antenna by playing with the frequencies of the oscillators. The range of the second lobe was up to several meters from the antenna. If a few hundred Hz is enough for your performance and you are able to hack the circuits, it can be a way to experiment with.
Now, I have added a preamplifier stage between the output of the pitch mixer and the VCA. The result is a good separation between the pitch and volume circuits, but I cannot go down to 0 Hz anymore because the pitch oscillators are synchronizing on each other at a frequency difference of about 30 Hz. I also get the second lobe at the pitch antenna, but it look like to have a much shorter range than before. So maybe it is also a path for experimentation here. But I didn't investigated that, so I have no clue for now.