you might want to see if your cruise line offers any pre-cruise excursions. If they do, then all you have to do is grab your bags, there will be a cruise line rep at baggage claim who will guide you to the bus, they load your bags onto the bus and the next time you see your bags is in your stateroom.
Another option would be to book a day room at a hotel near the pier. Find a hotel that has shuttle service from airport to hotel from hotel to pier. If you did this, you could relax, get some breakfast, go for a swim, and then head over to the pier at your leisure.