Not quite Connecticut, but I've played a few RI courses near the border the last few years where I meet up with a Boston area friend. Yesterday we played at Fenner Hill in New Hope, RI for the first time with some friends who had played there once before. That is a tough place to play for the first time, and it's even harder when your driving sucked all day as mine did. A very high number of blind shots and some forced carries. At least the first time there, you have to spend a bit of time driving or walking ahead to see where you need to aim. The greens are as tough as any. There are very few dead straight putts even from within 6 feet and many extreme breaks. Putting from above the hole is death there, although putting was the one bright spot for me as was the very good grilled chicken sandwich.
The other couple of courses that we play are on the Kingston Rd. off I95 exit 3. Meadowbrook and Beaver River. We've played the latter a bit more lately, partly because it's less expensive, but also a fun layout with a few interesting elevation changes and hidden trouble. At the moment, all of these tracks are in great shape.