We camped at...what was the name.. "Cave Springs Campground", along oak creek canyon, a must do road (89A). You'll be about 30 minutes north of Sedona, but no need to rush on that twisty road. You want to go slow and enjoy the views.
They have dry toilet. paying showers (but, like 2 dollars for 12 minutes, and the shower is large enough, so my wife and I could take it together. Have to do our part to save some water, right ? ;-).
Nice place under the shade, along the oak creek. lots of spaces between the camping spots.
No electricity, but that wasn't an issue for a few days. We ran on battery, just for the lights in the popup camper, anyway.
Ah, Yes ! Another point. When do you want to go there ? Probably just too hot in mid-summer. We went the 3rd week of may, 2017, and it was already very hot in Sedona. Thanks to the higher altitude and the shady canyon, it is cooler at the campground. So it was like 82F at the campground, instead of 92F in Sedona.
As for places to visit, we did a couple of short hiking trail to enjoy the extraordinary outstanding landscape, unique to Sedona (it's the reason why we go there, right ?)
We did some "vortex" trails : bell rock, boynton canyon, the airport... The airport is atop a small mesa, so we have a nice view on the area from there.
Incredible place. We have to go back, before we get too old.