The JB Duke Hotel is conveniently located near the Fuqua School of Business; it is only a five-minute walk (on a covered bridge) from the hotel to the Fuqua.
As an alternative, you can also check out Washington Duke Inn which is across the street, and within walking distance from the JB Duke hotel.
Other hotels available in the general Durham/Chapel Hill areas are not within walking distance but are easily reachable by car. It is also easy to get a ride from local Uber/Lift drivers.