Thera are lot of places to camp around Christopher Creek area. The one you've identified might be closed by Nov. 1. But if it's not, Christopher Creek is about a 100' walk from your camp ground (See map).
Now, a better spot would be for you to continue on the 260 past the Christopher Creek Campground until you get to the turnoff for the town of Christopher Creek. Only a couple hundred feet past the campground on your map (to the east). You can see the split off on your map. Go into town and look to the north for FR 284. FR 284 is past the church and past the Fire Station and when you see the MARKET you're there. Head North on FR 284 (is directly across the street from the MARKET). The FR 284 sign is clear as a bell to see, go North until it ends, it's a couple miles in length and all dirt road. Along the way towards the end you will see some areas to your right (east) where you can camp, scout these areas and continue to the end you'll see a big round-about and easily double back. This is See Canyon. You will hear Christopher Creek flowing and you can walk all around there, it's beautiful. Camp at one of the spots you scouted getting there. It's a safe place and the morning sunrise will be great to see, it will crest over the Rim. You will be at around 6,000' in elevation so it will get down to the 40'F. Even Payson (5,000' in elevation) is in the 40's for the low right now.
If you have any questions and want to make sure you're in the right spot feel free to call me and I'll walk you through it. This area is pristine!
Zona
602.692.6604