We have been on quite a few cruises with Kosherica. To sum up in one word – brilliant. They are by far the best Kosher cruise line.
However November is a little early for cruising. By the end of November you can get cruises from Florida but not kosher ones.
With Kosherica, December – February is Carribean cruise time. June is cruise time for Alaska and July – August is cruise time for the mediterranean
Kosherica have cruises to Panama and I think this year are doing one to Australia / New Zealand but you will have to check with them.
Hope this is of help. If you do go on one you’ll be sure to have a memorable time.