The Appalachian Trail is also called the "green tunnel", many sections are heavily forested, have shelters placed within a days walk apart and will have sections not heavily traveled come the fall. Also has places for re-supply, rather than having to carry 7 days food. It also is fairly well watered for most of it, having you carry less with you at a time. Worth a thought. It is also not a rain forest, as hiking in lots of rain and constant wet brings more skills in to play. It may sound like a highway at times, but I live very near it in Vermont, and it is very much like wilderness outside of 6 weeks or so a year. Another incredible place of heavy forest is Isle Royale NP. Can't get much more wilderness sounding than listening to wolves. Good luck on your journey.