0-1 day visit -- visit Narita (a taste of Japan)
2-5 day visit -- visit Tokyo (a taste of Tokyo)
Tokyo is $20-$200 each way and 2 hours w/ $250-$500 a night hotels. Narita is $0 each way and 10 minutes w/ $75 a night hotels w/ the circle bus, malls, temple, restaurants and endless lovely streets to walk.
And as noted, no good excuse to miss a connection at NRT.