The private version of the Sedona-to-Page run: your own vehicle and guide for the day, photo stops when you want them, and a schedule that flexes around your group instead of a bus manifest. You'll still enter Antelope Canyon with a Navajo guide — that's required for everyone, and it's part of what makes the visit good — but everything around the canyon is yours to shape.
For photographers chasing specific light, families with their own rhythm, and groups of five or more doing the per-person math, private is usually the right call.