Depends on whether you plan to do any real, loaded touring and/or use panniers. A cyclocross bike is great for the uses and conditions you describe unless you plan to carry heavy loads in panniers. Most cross bikes do not have chain stays long enough for panniers or geometry and tubing designed to carry heavy loads. I have a cross and touring bikes. The touring bike is perfectly capable on dirt/gravel roads and trails with the right tires, but is not as lively as the cross bike. However, the touring is much more capable when it comes to carrying loads. My heels striked the rear panniers when I tried to use them on my cross bike.

While you're checking out models, take a look at the Soma Saga, which is a touring bike but does great on unpaved roads and trails. It is available in disc and canti-brake versions and very reasonably priced. I posted photos of my Soma Saga and Ritchey Cross bikes for comparison.