Update (Oct. 8, 2012, 10:17 a.m. ET): The 7-night sailings from New Orleans are now sold out.

For $349-$499 per person, escape to the Caribbean this winter – including over Thanksgiving -- on a weeklong Royal Caribbean sailing that includes a $50 onboard credit per cabin.

Book by Friday, Oct. 5, and save $180 per person compared with similar cruises.

Sail for six nights on the Independence of the Seas roundtrip from Fort Lauderdale to the Cayman Islands, Jamaica and Labadee for:

• $349 ... Jan. 27; Feb. 24

Sail for seven nights on the Navigator of the Seas roundtrip from New Orleans to Mexico, the Cayman Islands and Jamaica for:

• $369 ... Nov. 24; Dec. 1, 8; Jan. 5, 12
• $499 ... Nov. 17 (Thanksgiving sailing)

Both ships feature a rock-climbing wall, an ice-skating rink, miniature golf, a spa and multiple pools and dining options. The Independence of the Seas was rated one of the top ships in the world in 2012 by Conde Nast Traveler.

Note: Taxes are an additional $90-$120 per person depending on departure date.