Check out Bretton Woods' offer of a Canopy Tour. Bretton Woods is on 302 just after Franconia notch. It has rope bridges, zip lines, etc. Very cool. Pricey. Half-day event.
Also, Wildcat (on 16, just after passing Mt. Washington as you are headed north) has rides to the summit on the gondola. There are several trails down, two on the west side (steep sections) and one on the east side. You can call Wildcat, or the Appalachian Mountain Club Pinkham Notch Lodge desk for info, or check out their maps and/or their trail guide to the White Mountains of NH. They also have a zip line. Nothing fancy at Wildcat; just the basics. If you come down one of the backwoods trails, you'll need to spot a car. If you don't have two cars, then there's an AMC shuttle that can pick you up at the end of your hike if the trailhead is on 16, then deposit you back at the base lodge parking lot, maybe. The AMC runs this shuttle which loops around the Presidentials along 302-16-2. I just don't know if they will pick you up at either of the trail heads and then let you off at the base lodge. Again, you'll need to call and confirm.
Also, If you are up for a big hike, ride the bus up the Mt. Washington Auto Road to the top of Mt. Washington (on 16, just past the AMC lodge in Pinkham Notch), then hike down. There are numerous trails. Again, you might need to catch the shuttle to get back to the parking lot at the base of the auto road, if you take a trail down that puts you at the AMC lodge. But there are many trail options. If you consider driving your car up, just for the thrill, well, it is a thrill. Be sure your low gear is strong enough to slow your car down as it travels back down, because otherwise you'll need to ride those breaks. Not a pretty smell. Costly, too. (Personal experience.)
Cannon, back in Franconia Notch, is another option. There are trails that lead down after taking the tram up. You don't have to go down by the slopes. Just get a trail map (AMC trail guide has all the maps and all the detailed trail descriptions, with elevation gain, miles, hours, etc).
You'll need to be prepared for real hiking, with backpack and boots and water and change of clothes, and so on, for any of these trails. The Whites are full of vigorous hikes. Enjoy.