Not much out of New Orleans. A great price ($399 per person) for a 7 day cruise on the Grandeur of the seas. It doesn't go the Montego Bay. Ports of call are: Cozumel, Mexico; George Town, Grand Cayman; Costa Maya, Mexico; You might want to consider that price for an inside cabin...
The Freedom of Seas will accomodate you, but, she's a lot more money. Ports of Call: Miami, Florida; Cozumel, Mexico; George Town, Grand Cayman; Montego Bay, Jamaica; Labadee, Haiti; Miami, Florida. There are 3 different sailing dates in January. Inside cabins are $1,064 per person.
The best thing I could find was on the Radiance, which is a beautiful ship. Prices starting at $519 for a six night cruise. Ports of Call: Miami, Florida; Cozumel, Mexico; George Town, Grand Cayman; Montego Bay, Jamaica; Labadee, Haiti; Miami, Florida.
That's about all Royal Caribbean has to offer. You really should check with Princess or Carnival. You need a good travel agent that specializes in cruises. You don't save any money by going through the cruise lines direct. If you go to www.travelocity.com
You can find all the ships with their prices and ports of call.
I hope I helped a little...
Oh yeah! Penny, I don't just lurk around RCCL's group.