I wish that iTunes had a queue next song feature in my playlists. You can’t do this in your normal Library list or any of the custom playlists you make. Instead,  you have to put the songs in your Party Shuffle to queue a song to play next.

The Party Shuffle contains a menu when you right-click a song for Play Next in Party Shuffle.

You may ask How do I add songs to the Party Shuffle? Just right click the song in your normal playlist and select Add to Party Shuffle.