I second the vote for the Kancamangus/White Mountain area. I have gone vacationing there since I was a child and adore the area. When I finally took my DH to NH before kids, we did the camping thing and then B&B thing. Camping is lovely in that area, although we always seem to go during the rainy times and couldn't seem to get the chill out of our bones. It rains a lot due to the mtns.... hence the lush forests and cascading waterfalls everywhere. We also really enjoyed the B&B's and they have a bunch to choose from. We stayed at the Inn at Thorn Hill in Jackson w/ a delectable breakfast w/ homemade crepes and granola each morning, then DH read the paper and listened to the classical music in the parlor overlooking the mtns, then we got the innkeepers to pack us a lunch for a hike or bike which might be difficult for you due to your injury. We, too, did Arethusa falls and Frankenstein Cliffs and really enjoyed our time, although it would be a difficult hike w/ a back injury.
You can take a gondola up Cannon as we did and had a lunch on the top of the mtn, you can drive or take the Cog up Mt Washington, you can dine in the numerous fabulous restauraunts, meander around the falls and relax and read a book, go sightseeing by car (the roadways thru the notches are fabulous). There is outlet shopping in Conway, although we didn't do much of that, and antiquing not too far away northwest of Conway.
You might want to try a B&B because they cater to your every need and usually don't allow children under 10. So this may be a great chance for you to experience it. Especially if you don't feel you can handle a lot of physical activity. The inns give one the chance to watch the time glide by while rocking on the veranda and drinking a glass of wine. Or you can sit by the pool or kick your feet up in the parlor. And then, if you feel up to it, you can leave the inn, and go check out the mtns and falls. You've got the Darbyfield Inn, Inn at Jackson, Notchland Inn, Christmas Farm Inn, and sooo many more to choose from. You've got the condos too at the base of Loon Mtn and such which look nice. And lots of places to stay in Lincoln and Waterville Valley although they seem a bit farther from Kancamangus.
The great thing about NH is you can see a lot by car and short walking. The lake regions are lovely as well and you might want to go in that direction. I also just checked into the seacoast of NH because I haven't been there in a while and Wentworth by the Sea in Portmouth looks really nice w/ it's clambakes on the beach, views, and shopping nearby. My father reminded me that the water is cold cold cold though.
Good luck choosing. Just like WDW world, I enjoyed NH as a child, but enjoyed it as an adult w/o kids much more!! My DH and I had soooo much fun visiting NH. Now that we have 2 small children, we'll be taking them soon, and I am sure we will have a wonderful time, only we'll be doing different things. But it is wonderful as just a couple!!! Have fun!!!