I went two different times without an appointment. During the middle of the day, I made it to the front of the line only by people in front of me giving up which I eventually did as well. I had an appointment for the next day but had a schedule conflict. I went back on another day early in the morning and got in (on a Friday). They weren't letting anyone in from the no appointment line if there was anyone in the appointment line. My best guess would be to be there when they open.
Anytime it's open there will be a line for people without appointments it's best to show up early before they open because the line will get long fast
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