Why not leave it where it is and sell it as a private residence with the covenant that it be maintained as a working lighthouse? Someone will buy it and maintain it properly just for bragging rights.
I agree, there are a few light houses like that already. The Government could even pay them a stipend to assist in maintaining the function which would be cheaper than the Government fully maintaining it.
We made one of our local Lighthouses (Sodus Bay) into an Historic site. I applied to be the keeper (curator). Then I started THINKING about ghosts and was glad when it didn’t pan out.