Tanks for the win aram!
Ever since ARAM was converted permanantly into legend of the poro king, there is a single factor which determines who wins games.
How many tanks do you have?
Any kind of mechanics fail in the face of people just stacking tons of hp and defense, and rushing straight at you, using the snowball as a free initiator to get in range of whoever they want to cc forever. If the snowball was intended to be some kind of "equalizer" to help out melee classes in aram, it isnt working as intended.
If you're about to respond with something like: "aram isnt a serious game mode blah blah". Then dont bother.
Riot created a specific map, specific lore, specific spells, and specific items for aram, and plenty of people play only aram. If the balance is so bad that you might as well not bother when the enemy randoms Leona and Chogath, then the game mode might as well not exist.
TLDR; Remove the snowball spell, or give some better options against enemies stacking nothing but defense and cc.