As abmj-jr mentioned, there may be other public transportation options to downtown Tokyo without paying $250 for a cab ride. If you want to save the cab fare, there are plenty of nice airport hotels near NRT that you can stay at upon arrival, many for under $100, including the Hilton NRT.

Having flown both NH First and AA First to NRT, I would give my preference to NH First for the soft product. NH serves Krug and caviar during the main meal service. As for the hard product, I think AA First is very competitive. I feel the AA FAs working the TPAC routes tend to provide better service than those working the TATL routes, but it really depends on the crew that you get.

Enjoy your honeymoon to Tokyo!