Why are you getting in trouble for dropping bumper plates? That's their entire point.
I do cleans at a regular gym with regular plates. As such, I only use weights that I know that I can catch on my thighs.
I have no idea how much you're lifting, but doing a controlled drop onto your thighs would be the best bet, I think.
But I have no idea whether that's even possible, or advisable, with any weight beyond your 60-70% 1rm, or any weight beyond 225lb. If you're fatigued you may catch it poorly and actually drop the entire weight onto your thighs, which can be very bad. Or you may catch it poorly and put a lot of pressure onto your lower back, which can also be bad.