Have you tried this?…
You can assign a cv output on the shuttle control to its own internalized random voltage source; 3 source types listed: randomized, quantized random, and stored random. Check out the Shuttle Control software dropdown menu—https://cargo4.endorphin.es/
All 3 randomized outputs are on an assignable note so all you would need to do in Ableton is press the appropriate note, I think. It might act like a gate. I don’t know.
Sorry I couldn’t be of more help.