Mt. Jackson as first winter 4000 footer?

I am planning a trip to hike Mt. Jackson as my first winter NH 4000 footer. Would this be a good first one to attempt? Mt. Waumbek and Mr. Moosilauke are other ones I'm considering - how might these compare? In terms of gear, I have microspikes and snowshoes, but no crampons. Any advice/insight would be greatly appreciated.