Dorr Mountain- The Emery Path Cadillac Mountain- Tallest Peak on the Island with multiple routes, some steep and some gradual. (if you are driving to the top of Cadillac Mountain you will need a reservation (recreation.gov). Champlain Mountain- take Beachcroft path up Huguenot Head and continue up Champlain for a great view. Eagle Lake- walk, jog or bike the eight mile loop around the lake.
Asticou Trail-gentle walk/hike that takes you to Jordon Pond House for tea and popovers. Pemetic Mountain-south ridge trail, nice and gradual with great views.