That's a fantastic trip! As far a hanging, once your up there, it's all above the treeline. There are AMC huts (cabins really) along the way. Even for your tent dwelling friends, it's sorta hard to stealth with a tent above the treeline, kind of conspicuous.
You do want to know all alternate trails leading down (like knowing where the exits are on an airplane) because summer afternoon thunderstorms come quickly and, you don't want your head to be the highest point east of the Rockies!
Below the treeline, you won't go lacking for trees. As a matter of fact, your tent buddies will be hard pressed to find a space big enough for their tent, without a tree in it. That's one of the main reasons that brought me to hammocking.
Stealth camping is no problem in the Whites (except above the treeline) because in many places you would be completely hidden just 10' off the trail. Stealth is all I do. I can't stand the tent platforms, but they are almost a necessity as that's about the only place with more than 10 square feet of level area. I've spent many extra hours hiking while looking for a suitable tent spot, but no more! Thanks to this website, I've discovered the solution.