My favorite in the east. Start at Adirondak Loj at Heart Lake, Adirondack Loj Road, Lake Placid, NY. First day hike in 7 miles to Marcy Dam and then on up past Avalanche Lake. After Avalanche Lake and before Lake Colden there is a nice camping spot on the left. Camp there first night. Hang food HIGH between two trees and/or get light weight bear proof containers from EMS. You will see black bear! Just don't keep any food in your tent. Next day do a day hike up Alogonquin Mountain (2nd highest Mtn). Third day push forward on up toward Mt Marcy past Lake Colden. From there you will figure it out.
If you get to Adk Loj late in the day you should be able to hike into Marcy Dam and camp their the first night. Just make sure you see Avalanche lake. Best part of the entire trip.
Note buy a good water filter system.
Do some google searches for Marcy Dam, Avalanche Lake, Lake Colden, Adk loj at heart lake.
Get the book
Adirondack Trails High Peaks Region .