Adirondacks, baby.
Here's an idea. it requires a non-trivial amount of car jockeying tho....
Park one car at Adirondack Loj (or the free parking area just before the Loj) and then all of you drive on down to the Upper Works Parking Lot in Tahawus. Spend your first day of backpacking with an easy day to Lake Colden. Set up a tent camp there or if you are lucky, get a lean-to. Swim in Lake Colden. The view of Mount Colden first from Flowed Lands and then from Lake Colden is an outstanding view.
On the second day, break camp and move it to the lean-to or camp site at the confluence of Feldspar Brook and Opalescent River. The Flumes on Opalescent River Trail are remarkable. Drop your camp and hike up Mount Marcy and Skylight. Mt Marcy is the highest peak in NY and offers, obviously nice views. The view of Marcy from Skylight is really nice too. Don't forget to carry a rock up Skylight and put it on the pile otherwise it WILL rain that day.

A little bit of Adirondack Lore for you.

This is a kinda big day so you won't mind chilling in camp the remainder of the day when you are done. ON day three break camp and follow the lake arnold trail out to meet the trail from Avalanche Pass. IF you are feeling good, then drop packs and hike up Mt Colden from Lake Arnold. Interesting views of Avalanche Lake from here and a summit that is rich in the arctic alpine vegetation that is very protected (supposedly 85 acres in NYS only) If not, when you get to the trail junction, drop your packs and fast walk up to Avalanche Pass and chill and/or swim, then grab your packs and head out to the car that you left. The walls of Avalanche Pass are guaranteed to inspire the climber in you. If canoeing is a necessity than you could prolly rent a canoe in Lake Placid or Schroon Lake which is kinda on the way back to your other car.
I have other, possibly more elegant ideas, that I will send in a private message later on.