Generally speaking Bermuda is a family, couples, honeymoon cruise. Zenith does have a nice lounge etc. but it would not be my first or even second choice if I were single.If sailing from NY is what you want, look into the Cruises on the Carnival ships.
They sail one of their newer bigger ships to Canada each summer.
Zenith is one of my favorate ships. I just do not see Bermuda as a singles cruise (done it twice).