Downloaded apps stuck on "Waiting..." due to songs in iTunes?

I've been sifting through the support discussions on this topic for some time now. I recently backed up and restored my phone to clear some of the "Other" storage, which was taking up more than 4GB of my tiny iPhone so I could update to iOS 7.1. In so doing, I opened a can of worms.

A lot of my downloaded apps are stuck on "Waiting..." though I can still use them if I type their names into the App Store and open them that way. That's inconvenient, and I'd rather not be stuck having to do that.

After reading through the discussions on this topic, I traced what I believe to be the problem to several waiting songs in the iTunes app. These songs won't download because they are registered under other Apple IDs (old friends). I have no interest in these old songs and would like them removed, but I can't tell my iPhone to not download them. It just prompts me for an Apple ID password that isn't mine.

How do I convince the iTunes app to stop attempting to download these songs? I tried swiping left or right to delete them, but that hasn't worked. I seem incapable of interacting with them in any way that doesn't immediately prompt me for a password.

I've backed up, restored, and given my iPhone a few hard resets. Nothing has worked. I've also gone into settings and disabled that "Show All Music" thing, but I haven't backed it up and restored since then.

Any suggestions? I'd really rather not have to set it up as a "new phone."