hello,
Im planning a winter ascent as well sometime in late march, are you going alone? it seems that you have the right knowledge and skills and even that there isn't any glaciers or crevasses I agree with the other people, Whitney has its own challenges I have done Mt Rainier and Baker among others in WA state, Im more a multi day guy I like to stay longer in the mountain, my approach is to go and assess as I go then make decisions according to the conditions such as time, energy, risk.

Rope, 2 ice screws for the early ascent and 2 pickets for soft snow in the descent and of course the usual tools ice axe helmet etc.

Good luck and hope you can accomplish your goal.