I'm not staying at the Hyatt, but at the QUALITY suites in Cocoa Beach. It has a free shuttle (confirm when you make the reservation) to Port Canaveral. It is 5 miles, not far and the shuttle could save time as well since they will drop you at the door.
We are paying $79.00 per night, and we'll be there on the night of the 7th and 8th.
Can't wait to see ya'll there!