Wish I could help, but haven't done Alaska. I have sailed Princess many times, but not the Coral. In fact, Princess is my favorite line. Be sure to try the International Cafe, the pizza is the best at sea, and if they have the Sanctuary on board the Coral try a half day pass there.
Haven't been of much help, but did want to welcome you to CruiseReviews. We have many members that have done the Alaska itinerary, so I hope someone will be able to assist you.
Have a wonderful time and I hope you enjoy Princess as much as we do!