What time does the line start queuing up on Saturday mornings?

I have been there during the week and on the weekend and I arrived at 10 AM both times. There was a line already on both instances but during the week is a lot smaller than on the weekend. They open at 11 AM and it seemed like the first person must have arrived by 9 AM or so. If you can, go in the middle of the week, you will wait a lot less in line.

I have no official answer for you but the one time that I went on a Sunday at 1:00 there was already a 1-hour wait. My intuition tells me that weekend mornings before 10:00 you should be fine