Joe,
I grew up hunting all over CT. My old favorite chunk of state land was up in Newtown...Paugusset state forrest. Definitely worth a look.
If you are SERIOUS about deer in CT you need to get out and knock on some doors. If you really want to drastically improve your odds of both getting permission to hunt and shots at good deer take up bow hunting. Land owners are MUCH more likely to say yes, and you have the best odds at early undisturbed deer.
The problem with CT and the rest of that region is all the tree hugging, anti hunting, anti gun types that think meat magically appears in the grocery store. Believe me , I spent my first 24 years dealing with that mind set, I was born and raised there, but have defected to Alaska. CT has a HUGE deer population with many big bucks that die of old age or auto accident. Those little overgrown wooded patches of private land that you drive past every day hold lots of opportunities at deer.
I had some really great spots that were all private and the largest was 11 acres, find those areas that funnel the deer traffic and start looking around. If you put in some time and effort, and do your homework you could have a great shot at an unforgettable 2011 deer season.
I left CT in 1996, but if I remember correctly a guy had a chance to fill like 12 tags if he was to hunt all the private/state seasons available. I would imagine the population has exploded with even more land closed to hunting now.
People are much less apprehensive about a guy in the woods near their house with a bow than a shotgun/rifle, so that is definitely something to consider.
Good luck.
Mike