The sand: the real opponent here
If you take one thing from this guide, take this: the sand is what makes Antelope Canyon hard. Long sections of soft, deep sand and sandy jeep road run through the course, and across the 50 Mile runners routinely talk about something like 20 miles of it. Soft sand kills your pace and lights up your calves and feet in a way firm trail never does, and it does it on terrain that looks flat and runnable. Go in expecting your watch to read slow and your legs to feel it, and you stay calm. Go in expecting to cruise the flats and you fall apart.
The move is a shorter, more patient stride and a willingness to hike the soft pitches without sulking about it. Power-hiking deep sand is often barely slower than running it and a lot cheaper on your legs, so save the running for the firmer ground and the slickrock where it actually pays off.