I think you'd have to change the SQL partition to a Linq group-by. (Effectively all the partition does is group by song, and select the newest row for each group.) So something like this:
IEnumerable<DownloadHistory> top5Results = DownloadHistory
// group by SongId
.GroupBy(row => row.SongId)
// for each group, select the newest row
.Select(grp =>
grp.OrderByDescending(historyItem => historyItem.DateInserted)
.FirstOrDefault()
)
// get the newest 5 from the results of the newest-1-per-song partition
.OrderByDescending(historyItem => historyItem.DateInserted)
.Take(5);