We travel in a full size Ford Van. I'm not sure of the height, but we did park in the deck last year. Everytime we passed under a support beam, I just knew that we were about to scrape and get stuck. Thankfully we didn't. Our last trip, we went to enter the parking deck and our antenna scraped (antenna is a tad taller than the roof) the warning bar at the garage entry. I made hubby back up and park in an outside space. The outdoor space made leaving the port super fast.
I could not find details on the port website for vehicle height, just that they charge double for oversized vehicles. We didn't park in the "close" lot, just the regular fee for the lot behind the deck. HTH