Connecticut is definintely more conservative than any of the neighboring states -- Rhode Island, Massachusetts or New York.
Beyond that, it's hard to say what direction the state will go in. It depends on events to a large extent.
Connecticut has many wealthy suburbanites who will dabble in liberalism as long as it seems safe to them. Clinton's public moderation, and ironically, Republican successes with ideas such as stricter prison sentences, removed the threatening face that liberalism presented to many of these people. But if that threatening face reappears, in the form of increased crime, renewed pressure for social engineering ideas like busing, or things like that, they'll bounce right back to the GOP. Limousine liberals only remain so as long as their liberalism is cheap, and if it ceases being cheap, they'll be singing a different tune. And that would have a big effect in a state like Connecticut.
I get the sense that Connecticut is a state whose elections are decided by suburban voters, and suburban voters certainly fit the profile you've laid out for the state of CT.
