If rapids and rocks are a staple of the touring conditions you expect, just be aware that not all inflatables are made equal. Some will not be robust enough to cope with that sort of impact. Some inflatables are made as light weight as possible and others with low volume to provide the best surfing characteristics. Neither of these are likely to be any good for you.
I should acknowledge my affiliation with Starboard, but even within that context, I suggest you look at the Starboard website where you will find several boards that suit, as well as a number that do not.
http://star-board-sup.com/2015/overview-astro-inflatable/ For instance, the Astro Racers would not be right for you as they are lighter construction to make them as fast as possible - that's to say they are not built to run over rocks. The Astro Touring boards would be far batter, especially the 12'6" or the 11'6" models. You could also consider the Allround shaped Blend at 11'2" x 32" but make sure you get the Deluxe construction which is 2 layer thickness. On the other hand, the Zen construction is single layer and that is not suitable.
Best of all for rapids and rocks is the Astro Stream as it is super heavy duty and purpose made for running rapids. Unfortunately the 2014/2015 models only came in 9'6" x 36" which is not so good for general purpose touring. However if you can wait a little while, the 2016 range includes an 11' x 34" Stream and that would hands down, the absolute best board on the market for what you describe.
As far as paddles go, once again if rocks and rapids are what you expect to encounter, then you should be wary of getting an expensive full carbine blade and shaft as they will only get bashed about. Better to look at something in a carbon hybrid or even fibreglass. Starboard's fibreglass paddle is called the Tufskin, and the hybrid is called the Tikitech.
star-board-sup.com/2015/paddle-overview/