The only problem is that many of the battlefields might no longer remotely resemble how they were at the time. Even when you're able to accurately locate them, 2000 or more years is a long time - bridging even into geological time for the kind of changes that can take place.

North Africa, for example, has succumbed in swathes to the Sahara where it was once fertile and productive. Climactic and geological changes aren't trivial over that span of time.