I spent a lot of time looking at maps and looking at where the the entrances in the roof were relative to the sun. I determined that the best time to go was August. If I was right there should be a slanting shaft of sunlight in the cave that was almost a quarter mile long.
The room is truely huge.The skylights let in enough light that you can see the entire space. People on the floor look tiny.
The next day we were up early and into the cave before the heat. As the sun rose on the outside world a huge shaft of light split the chamber. It was beautiful and straight out of an Indiana Jones movie.