I was just up at Windy Ridge Orchard in North Haverhill, NH. You take I-93 north through NH to Lincoln, then head west on 112.
http://www.windyridgeorchard.com/
They serve breakfast and lunch (and have awesome cider donuts). You can go apple picking, check out the farm animals, and enjoy the view of Vermont across the valley.
Drive up for breakfast, then go apple picking. Afterwards, head back towards Lincoln on 112, and stop at Lost River for a nice crawl through the rocks and work up an appetite.
Stop in Woodstock, and have lunch at the Woodstock Inn (always great food).
Continue on 112 through Lincoln and enjoy the views from the Kancamagus Highway as you head to Conway. The Kanc is always a great leaf peeping drive.
Once you reach Conway, head north into North Conway (and stop at the Weather Discovery Center of course!) then head up to the vista in Intervale with views of Mt Washington.
If you want lighter fare, Flatbread's (across from the Weather Discovery Center) makes awesome wood fired/clay oven pizza with all organic ingredients.
Head south from N Conway, and take Rte 25 back towards the Lakes Region. That will eventually bring you out to I-93.
That's a good day trip (might be long from CT) gives you the mountains and lakes of NH
Kirk