I couldn’t believe the cave instructor trying to have a class in the middle of all of that. No they do not have a limit, I had called the day before we left thinking that if we got there late they would close the park, but they let everyone in. I’ve been to rainbow river on a busy day and I would say ginnie was much busier. I couldn’t believe the line that I saw around 1pm. I’m so glad we went there first. The springs near where I live open at 8 and fill to capacity by 9!