My reply may be heretical, but here goes. This is a popular shot, one I've seen many times. To my mind, I would prefer either to make a super superb version, you know, absolutely perfect light, exposure, composition, etc; or to make a totally different shot of that familiar spot. This particular shot shows the remarkable place well enough, but some of the versions I've seen have had much better light. You might consider a composite shot, as has been suggested, or try for better light, perhaps during the "Golden Hours" just around dawn or dusk.
-Raf