Since Ashe cannot crit. More ADCs should transit into that no criting style. My suggestion: Caitlyn
Why Caitlyn? Because she is pretty much easier like Ashe to rework into no criting. Here's my fantasy/idea of Caitlyn being reworked into not being able to crit:
Main change would be her passive.
Passive
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No longer reduces the # of shots needed with Level for a headshot.
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Caitlyn no longer can Critical Strike. Her headshots count as crits now.
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6 shots to get headshot, this is reduced by 50% of the crit chance Caitlyn has. (100% means that she'll require 50% of the shots originally. 50% Crit Cahnce means she requires 25% of shots)
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Caitlyn's ranged is increased depending on her crit chance. Every 1% Crit is 1 range increase. (Max of 100 range, meaning she'll have 750 Range.)