>>984135Stellar choice, Anon!
Groceries and gas are hideously expensive so bring lots! North Rim has all the awesome sites and sights that the South Rim with 1/10th the people.
Camp out in the Kaibab and travel into the North Rim for a shower and to do laundry. Stop on the way in at the Ranger station just off the highway for a wood cutting permit. Kaibab and North Rim have the same entrance road and the sole gas station outside both is located there. Cutting firewood to sell to campers at the campground in the National Park can totally pay for your trip.
Stellar choice and if it is too hot, Zion NP and Bryce Canyon NP are only three hours away.