I'm guessing,but could it just be the brakes themselves ?
When braking in reverse,you're asking the calipers/pads to work in the opposite direction to their normal use,so even the tiniest amount of play or float will cause a clunk ?
Bike brakes certainly do this when wheeling them backwards.
I'll tell you a wee story about noises when reversing,which is alarming.
I sold a Mk3 Golf gti to a friend and he phoned me saying that he'd reported a 'whirring noise' when reversing (wheels turned) and the main VW dealer told him a new gearbox was required.
He was angry with me.
I quickly nipped round and showed him the problem,which I identified immediately.
My Golf Gti should not have been fitted with mudflaps at the front,but it was.
When you turned the wheels in reverse,the tread rubbed against the mudflaps and made a whirring noise.
He was even more angry then,but not with me...with the dealer.
He created merry hell that a mechanic was willing to sanction a new £800 gearbox for nothing more than tyres rubbing against a plastic mudflap !!!