Try using 1/30, 1/60, 1/125 shutter speeds (assuming this is in the U.S. — which uses the 60hz a.c. electrical frequency, other places in the world use 50hz a.c. frequency rate, so try 1/25, 1/50, 1/100 if this is there).
But note, this is just something to try, the oscillator in the lighting controllers may not be keyed into the a.c. line frequency, and may just be low cost versions that run non-standard rates. If that is so, then you will need to experiment to find the timing rate and then use similar types of shutters speeds as I listed above.
If that does not work, try shining a low powered flashlight on the scene, preferably one that has a not-led bulb. Or, pop the scene with a flash to over-power the lighting. Keep in mind these last two options can affect the white balance.