This is an old post but I will reply in case someone else goes there.
First off it is dusty as hell!
Especially with the guide throwing sand up in the air to make the light beams.
As said you need long exposures or higher ISO.
I used a tripod too, was not as convenient but I made it work.
It was also crowded, if I ever hit the lottery i will book the entire canyon for the entire day!
My images from the canyon can be seen on my site in the Utazona" gallery