You can get EAC to wtite the tags directly with flac.exe. Just enter the following commandline in EAC compression options (with flac as the encoder):
%s --tag=TITLE="%t" --tag=ARTIST="%a" --tag=ALBUM="%g" --tag=TRACKNUMBER="%n" --tag=DATE="%y" --tag=GENRE="%m" --tag=ENCODING="EAC 0.9b4, Secure mode (or whatever you want to appear here)"
Beware that Ogg and mp3 uses different tags for displaying the date. Mp3 uses the "year" tag and Ogg uses "date". So to be on the sure side when transcoding from flac, you might want EAC to write both of the tags. That will, on the other side, make them both appear in ogg.
From flac, you can use dbPoweramp to transcode to all kind of formats - with taggings preserved. However, I have runt into a problem which I describe
here.