Page AZ

I think you are gonna have trouble getting to the Grand Canyon from Page on dirt, there is a huge reservation in the way. You should check with the Navajo Nation to see if they allow access. Otherwise, you could cross at the Marble Canyon Bridge using 89A, then go west toward Jacob Lake and just before you climb up the hills, find Buffalo Ranch Road going south. This will take you pretty close to the North Rim area and still outside of the park.