Originally Posted by AlwaysAisle

There will be no public transportation from HND to NRT at the time of your arrival. If you want to get from HND to NRT around the midnight then only option will be taxi or driving on your own.

I think the best option is to stay at HND and go to NRT in the morning. The best option will be Limousine Bus, which depart right form the terminal and arrive at the front of the terminal. Morning schedule of Limousine Bus from HND Terminal3 to NRT is:

6:40 a.m. (arrive at NRT 8:00 a.m.)
7:40 a.m. (arrive at NRT 9:00 a.m.)
8:25 a.m. (arrive at NRT 9:55 a.m.)
9:00 a.m. (arrive at NRT 10:30 a.m.)