Personally, I think the crampons are a bad idea, without an axe.
first, Bob R, an expert in this field, was up there twice last weekend, and commented that an axe was definitely needed, although may not at all, a week from now.
Second, generally, any situation in which crampons are really needed, an axe is needed more.
Third, crampons will allow you to get yourself into situations of much greater danger, in which an axe is the only way to get yourself safely out.
The snowshoes will be a hindrance, this time of year.
My thinking on the subject......