The glaciers could have been mostly built up in a short period. Once you get glaciated, the oceans are cooled and evaporation is much less. You can get copious amounts of rain, while entering the glacial, because the oceans have a higher base temperature. And that can support massive El Nino’s. But once cooled, glaciated world, ocean temps are so low that El Ninos may not be warm enough to produce significant evaporation.
Still have no clue what ends the glacial.