Far north of Fairbanks off the Dalton Highway (SR11) near Coldfoot, the 8.5 million acre Gates Of The Arctic National Park is a roadless-trailless expanse of Alaskan wilderness. With no marked trails, orientation skills are a must -- be ready for Arctic river crossings, too! Still game? This is also grizzly country and the misquitos are fierce. Roads are treacherous so bring TWO spares.
A relatively short hike from Coldfoot is up the beautiful Glacier River valley to a vista of the main Gates peaks. Another nice trek is up calm Noatek River for amazing vistas and great wildlife viewing. The river passes the granite spires of Arrigetch Peaks.
There are some social trails, with access off the Trans Alaska Pipeline Haul Road (a.k.a. Dalton Highway). Gates of the Arctic does not promote these for obvious reasons, but they are obvious down river valleys.
Overall, Gates Of The Arctic National Park is the 21st most popular hiking trail of all 54 hikes in Alaska.