Escape Terminal parking

With the 7 pm departure for the Escape, what is the latest time to arrive and

still find a parking space ?

Since 5/7 is the first sailing at 7pm, nobody really knows. It would be hard for me to believe that parking would completely fill up. While I've not been to Miami yet, I've never seen a cruise parking lot filled up.

FYI, the Heat are playing at 5pm and will likely cause some traffic headaches going to the port.