Howard University to North Carolina State University at Raleigh buses and trains from $52

Here are some trips other travelers have found on Routefriend.
$52
5h 46m
0 stops
Amtrak
$62
9h 42m
2 stops
Megabus Amtrak
$65
9h 42m
1 stop
Megabus Amtrak
$77
7h 30m
1 stop
GotoBus Amtrak