Mesh networking is indeed slow, but it works great for some things. I'm not sure if music is one of the however. The nice thing about iTunes music store or a fast connection to a P2P network is instant gratification. I remember dialup days when it took 15 minutes to download a song and that was painful enough. Now if I want a song I can get it in under a minute and once you get used to this it's hard to wait several hours for the songs to potentially finish downloading.

On the plus side, chances are that one of the other devices in your mesh already has a copy of the song you want (especially if it's a popular song) and if storage isn't an issue you can have a lot of locally cached data that should speed things up.