I agree. Ice axes are not only useless but quite dangerous if you don't know how to use them! You need to have instruction (available through a number of mountaineering clubs as well as professional guide services) in snow and ice safety and self-arrest before attempting the hike that early, unless there's an unusually low snowpack and early melt-off this coming spring.
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May your trails be crooked, winding, lonesome, dangerous, leading to the most amazing view--E. Abbey