I did a lot of exploring during a 5000 mile tour of the southwest last year. Highlights of my time around the Grand Canyon can be found here: https://www.fjcruiserforums.com/forum...st-tour-2.html
If you enter the south rim of the Grand Canyon from the east via Hwy 64 off of Hwy 89 north of Sedona and Flagstaff, you'll have fewer crowds, can take the 35 mile loop road through the Sunset Crater Volcano and Wupatki National Monuments, will see a lot of Native American stands on Hwy 64 into the park and will only have to drive a few miles for a spot at the Desert View Campground (1st come/1st serve).
About 1/2 the distance west on Hwy 64 to the Grand Canyon Village (the main entrance, there's a fire road on the left (the only one) off of Hwy 64 which leads to the Grandview Fire Lookout. You're on FS Road 310 if you continue driving you'll reach FS Road 302 which will take you about 15 miles to Tusayan south of the main entrance to the park.
You can bypass the main entrance (and get into the park for FREE, if you didn't pay already) from here by taking FS Road 328 to FS Road 328A which takes you about 5 miles across the Grand Canyon Railroad tracks and past the dog kennels to the railroad station in the park. The turn off for FS Road 328 is just past the Tusayan Ranger Station on the right at the Apache Stables sign on the left. If in doubt, it's the LAST left turn before the main entrance.
Lastly, if you go to the north rim and want a truly remote experience, you can drive to the primitive campground at the Toroweap Overlook. There are only 8 or 9 campsites there and 6 of them require 4x4 to get there, but a stock FJ will make it fine. At this location, there are few people, no rangers and no guard rails. You can crawl right up to the edge of the Grand Canyon which is only about 1/2 mile across but still 3000 up above the Colorado at that point.
To get there, take BLM road #109 (aka Mt. Trumbull Road) which is on the left (south side) of Highway 389 about seven miles/12km west of Fredonia and about 20-25 miles west of the turn off to the North Rim Village on Hwy 89 after the split at Bitter Springs north of Hwy 64. It's a 60 mile drive down a dirt road the turnoff at Hwy 389 to the overlook but you don't need a 4x4 to do it.
Note that Hwy 89 loops at Bitter Springs west to Fredonia and north to Page. You can still get to Fredonia if you go north through Page and west to Kanab but you'll drive a lot more miles doing so. North of Kanab, Hwy 89 goes to Salt Lake City. FYI, Page is a very interesting town that is heavily populated by Navaho Indians and is worth a visit just to see Native Americans in the majority. I bought CO2 there to fill up one of my tanks at the Ace Hardware Store on my way to Monument Valley.
You can see pics and additional notes about these sites in my report on the trip in the link above.
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