A word of advice: Don't 'water down' what you are looking for with qualifiers.
You are combining three tasks that are all different, one of which is completely contrary to the others. This will only result in you getting odd advice that will probably lead to a poor decision. Decide what you want.
Powder/ Tree ski.
All 'rounder ski.
Will you tour? This means an AT binding and skins, is that in the plans, or something you 'might do' down the road? How important is this really to you?
Eastern hardpack and ice- this is the polar opposite of 'powder and tree'... if you have one ski that 'Does Both' you own a ski that sucks at both... so it does neither.
Think about what you want, be realistic and repost.