I don't know of any way to do it other than to change the tag data by hand. It's a bit of an unusual thing to want to do since usually a track is in an album or not. If you find yourself doing this a lot you might want to consider making a few playlist albums where you can sort them by play order and not have to change any data. Don't overdo it in terms of number of playlists.
I'm a high school music teacher and a lot of the tracks are student-created (or instructor-created). It has always been easier for me to leave the mp3 tag "unknown" and then drag them to the appropriate album in Windows Media Player.
I actually took something from your reply that I think will work well. By adding newly created files to a playlist, I could select them and then edit the tag data every few days by selecting all of the items in the playlist (I think that will work!).