Dogwood Canyon is a definite must do. Have you been there before? Our 1st (and only so far) trip was fabulous, had I known what to expect I would have made sure I had more time. (if you like waterfalls, this is close to heaven...). We WILL be back.....
The Beaver suspension bridge south towards Eureka Springs is photogenic. A park nearby has some abandoned RR trestles that can be done artistically if you have time.
http://www.bridgemeister.com/pic.php?pid=1231
Beaver Lake (and one would assume Table Rock Lake) makes some great sunsets. Use a map and plan accordingly as lake access with a westerly view can be limited.
Our trip in 2004 was to Eureka Springs, which in itself is not too far from Branson; it was our hub for day trips out and about. Personally, after one trip thru Branson in the 80s, I pledged that once was more than enough.....and we've avoided it like the plague ever since.