One of the things that I've found is most helpful is to make friends with as many "important" people as you can. On the tour they have a tour guide at the front who does all the talking and a tour guide at the back who makes sure everyone is ok and nobody gets lost. I decided to chat up and make friends with the tour guide in the back. Throughout the tour she would shoo people along and then let me stay so I could get a photo without people in it, or she would open a random door and say "here, take a picture of this room, nobody's in it!"
She pointed out this perspective to me and I thought it was neat, the way the railing drew the eye along, the palm tree spread the eye out, and the flowers pulled the eye up.