Just got back from a two day trip to the mountains to do exactly this. My son (14) and I went fishing and the lodge we stayed at has zero cell service and zero internet. There is a pay phone that takes real quarters so we could call my wife and let her know we arrived safe. We slept in, cooked our own meals, fished for a few hours, read books for a few hours, hiked through the woods for a few hours, and repeated the next day.