Thanks everyone!
Did a little more experimenting on this... The ground of the meter output does seem to be common with the radio's ground/chassis and PSU, so sampling on the radio side does seem to be a nice/easy option (and probably the most accurate).
I do have an ACS712 module handy, but unfortunately the current (1mA) does seem too low to reliably measure with it.
For fun, I hooked up a PC817 Photocoupler I had laying around, and ended up with the following:
Surprisingly this does seem to work — the current through the 10K resistor does vary according to the input, and the voltage on the test point [relative to GND] is the inverse of the input.
I can't be sure how linear/accurate this actually is with the cheapo meter I have, but will do a bit more testing.
Does this schematic seem sensible? How about the choice for the resistor values — giving the varying voltage/current on the meter terminals, I was a bit unsure how to choose R2 to protect the PC817's internal diode. R1's value was more or less arbitrary...
Cheers!