Is it possible we can hike/canoe WITHOUT a guide? We would like to get lost and camp out remotely. I checked the rates guided hiker/canoe. They're ridiculously expensive!
You don't need a guide. But if you camp out within the National Park then you need a backcountry permit. (See the national park page on backcountry permits) Also be aware of the warnings about hiking in the Grand Canyon -- people do get (literally) lost and the conditions can be harsh.