Not sure if you will see this by tomorrow morning, but your closest choice would be Bodie Island. Bodie is about 15-20 miles from Nags Head. Currituck is at least 30 miles to the north and taking any sunrise photos with the sun and the lighthouse are nearly impossible given the layout of the land (the light is surrounded by trees).

If you have time, there are a few old LSS in the Nags Head/Kitty Hawk/ Kill Devil Hills area. If you see the book "Outer Banks Architecture" , it has a listing in the back of each station and its current location. Off the top of my head I know that Owens restraunt in Nags Head, the Black Pelican restraunt in Kitty Hawk and the Sanderling reestraunt in Duck are all LSS that have been converted to restraunts.

Hope this helps