What's your comp's frame rate? You could increase it, making the frame-to-frame changes smaller, Make sure you use integer multiples of the delivery frame rate, because you will nest this inside the comp you use to deliver the animation. Also, be mindful of the maximum frame rate in AE -- 99 fps.
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Good call from Dave - although as Szalam notes max frame rate is now 999fps.
One further thing to note if you do this:
In the comp in which you've applied CC Snowfall go to menu: Composition > Composition settings, click into the Advanced tab - and tick / check the 'Preserve frame rate when nested...' option.
This will make the nesting work as per Dave's suggestion.