I got in line in the early afternoon while the raptor was posing/scaring. Shortly after, it went on break and many people left the line. So if you know where it is and you can ask an employee what its schedule is, you might be able to game the line a bit. I waited out the break and my family was first to see the raptor when it returned.
A lot of people get in line thinking it's a ride and then get back out when they find out it's a meet-and-greet. You can't really see the raptor from the line entrance.
PHXscuba