Not quite what you’re seeking but here’s an alternative idea.
I’m a huge fan of iTunes “Smart Playlists”. You can set up all kind of rules for them.
When I import new songs I spend some time adding attributes to the song. Genre(s), Artist, etc. I add “Star Ratings”. 5 Stars are the very best. 1 Star is junk. If I’m uncertain I give it 3 stars. A song may be in multiple playlists depending on its attributes and star rating. A song can have more than one genre.
For example I have a “Very Best” Smart Playlist. It automatically pulls in all my very favorite songs that have 5 Stars from every Genre. Except it has a rule to exclude the Genre “Holiday” (Xmas Music).
So maybe create a New Songs “Smart Playlist” and as one of the rules have it pull in all songs that have been played less than 10 times. An additional rule could be sort by date added. Once a song has been played 10 times it should automatically drop from the New Songs playlist. This same song can also be in other playlists - either “Smart” or manual. Make your “Smart Playlists” from the top level “Songs” menu.