My first suggestion is:

Am/E

The passing chord from the previous bar. Worth a try. I think it sounds ok, although D/E isn't that bad either. So:

Am............Am/E..D..........Am/E..F..........G............

Another possibility is Bm/E

Bm being the relative minor of D. Of course, if you don't like D/E than you might not like Bm/E either.

Have you considered Em? It's a simple enough solution.