As already mentioned, Look at "gravel" or "adventure" bikes. They have the following characteristics:

-Large tire clearance
-Drop bars like a road bike
-More relaxed geometry than a race bike or a race CX bike.
-Usually disk brakes these days
-Lower easier gear for climbing than a normal CX bike


If I had to do it again, I would get one of these rather than the endurance road bike I purchased 1.5 years ago...the extra tire clearance would make it much more versatile, and for most people, once they put slick road tires on it, wouldn't notice any decrease in speed on the road.