Haven't been up that peak so feel free to disregard what I say.
Just looking at date and topo and angle of the dangle... if it were me...
I wouldn't bring anything other than trusty hiking sticks and
glacier glasses.
However... since you are just dayhiking this (looks about 4 miles one way),
if you got them... heck... might as well bring crampons and ice axe
and get some practice in.
Looking at Dana and Gibbs... I wouldn't expect 100% snow coverage...
The top itself will probably be snow free.
(I wouldn't bother with snow shoes this late)
Go and tell us how it went.