Not sure what you mean by seperate Travelers Insurance. That insurance should cover everything you need. Although I never purchase from the cruise line, but rather go to Travel Guard or Access America. Have had good experience with both and you can go right to their website and purchase direct. No need to go through a TA. In theory, you really don't want to buy your insurance from the company you are purchasing your vacation from. Obviously, they are not going out of business, but what if they did? Your insurance would be worthless. It happened a few years back with, I believe, Renassance Cruises. It is just good practice to purchase elsewhere. After all, it is insurance!!
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Grand Princess 2-2001
Grand Princess 12-2001
Carnival Paradise 3-2002
Carnival Destiny 10-2002
Golden Princess 10-2003
Carnival Legend 6-8-2004
Golden Princess 10-22-2005
Crown Princess 10-27-2006
Crown Princess 9-15-2007
Caribbean Princess 5-2-2010