I doubt you're going to find any greens or even blues that are ungroomed no matter where you go. Most bigger resorts have trails they leave untouched but those are all likely black/double black. Sugarbush has a lot of ungroomed stuff. but ungroomed also usually = moguls
As for places close to CT, you could try berkshire east, jiminy peak, butternut which are all in MA. Southern VT isn't too much farther than those places and you have you choice of mt snow, stratton, okemo, bromley, magic mountain. but for frequent powder you'll really have to go farther north unfortunately. I can't really speak on the grooming habits, sadly i havent lived in that area for quite awhile