I find it hard to believe that D major wasn't one of the more common chords to follow and E minor.
The results are exactly as I would expect. F is the most common chord to follow E, because that's the primary way to resolve the dissonance of that note in C major. When E appears in other chords in C Major it will also tend to resolve to F unless there's a good reason not to (cadential 6-4).
A minor is the next most common after F, because that's the next step in a descending circle of 5ths pattern (E, A, D, G, C)
The only pop/rock use of II that I can think of is as a turn to drive II7 -> V7 -> I.