I would use smaller buckets (as said)
Each bucket basically has it's own tap (replaces the small beam of light reflected by the subject).
Place a few buckets next to each other and imagine the taps being high(er). Open one tap; most water will end in the intended bucket but some water will end in the buckets next to it (due to splashing). That is noise.
Small buckets that only need e.g. 100 drops of water to be filled and that get 1 drop of water are already 1% full (which is noticable / can be measured); in big buckets that need 10000 drops to be filled, 1 drop will be barely noticable.