I have a shotgun (Winchester Model 12 Featherweight), but I'm not a trap shooter per se. I do attempt to bust clays when I visit my brother in Vermont. I use the 12 mostly for 3-gun events, which are nil to non-existant.
I am in SE CT and I do know that there is clay shooting at Ledyard Sportsmans, Branford GC and just over the line, Ashaway RI. Ashaway is open to the public (breakfast, too). I believe Branford (I95 Exit 56) is, too. Ledyard would need a member to take you as a guest. I know several members, but am not one myself. Groton Sportsman will have their Field Day on Thanksgiving week, so the public can attend that (trap and skeet available).
Oh, for CT shooters, go over to guntalk.club...