I need to backup all of the music on my iPhone however I no longer have a computer. Please help!

Question

Hey, this is my first post on Apple Support Communities because I'm usually able to solve any iPhone problem by doing extensive googling... However this time it seems that I've hit a roadblock. To get a decent idea of my situation, here's some basic info and a breakdown of what's been going on:
-I have an iPhone 4S
-Approximately 1 month ago I tried downloading a Gmail app and it got stuck on "Waiting" mode.
-When this first happened I tried to exit out of it during wiggle mode but there was no "X", so I just left it alone.
-Recently I've been noticing my battery has been draining terribly since the app got stuck on waiting, so I've made it a point to try just about every possible solution I could find online (hard reset of the phone, signing in and out of the apple store, checking purchases, resetting all settings, etc.)
-None of these proposed solutions worked, so I made an appointment with the Apple Store. I brought it in yesterday hoping they would be able to do a quick fix, only to find out they could not fix it, and that the only way to get rid of the waiting app battery drain issue would be to completely wipe the phone.
-The main problem I'm having here, however, is that I used to have a computer but it died a little while ago... so I've just been using the iPhone without syncing it to a computer (all of the music I got from CD's is still on my iPhone and I don't want to lose it).
-Since I can't back up my phone with a computer, I backed it up to iCloud last night for the first time. This took about 2 hours, and supposedly was successful, however I then remembered iCloud does not backup the music on your device that came from CD's. The Apple Store employee had told me I could use iTunes Match if I needed to backup all of my music and I no longer had a computer... However I looked into it only to find that you DO need a computer for iTunes Match.
So my question is, how can I backup all of my music without a computer? Is there an app that has been known to do this well? I just want to be able to backup all of my songs right on my iPhone, wipe the phone, and then be able to restore all the music back onto the phone somehow.
Any help or insight into this matter would be greatly appreciated. Thank you.

Answer 1

Since it has always been very basic to backup your computer and all it's data, Apple provides no way for you to transfer music from your iPhone back to your computer.  As you know, you can re-download all iTunes purchases, but music that you ripped yourself you'll have to just re-rip again.
You can try and find 3rd party applications that might help you.  I'm sure you'll pay, however.
Let this be a very important lesson learned.
Best.