This question is not going to really be answerable by anyone other than Rackspace, but in the general case:
If you have a hardware failure that causes data loss or corruption, there are three basic options available to you.
- Restore from a backup. This is generally the best option. It's the cheapest, fastest way to get your data back and your system running again. Of course, it does require having working backups, which doesn't sound like the case here.
- Data Recovery. This is the next option, and is not generally preferred because it's resource intensive, takes a long time, and may not be able to recover what you need anyway. This can take many forms, from something as simple as using "the freezer trick" on a failed hard drive and copying the data off, or as complicated as actually trying to undo the corruption by analyzing the raw data on the disk. Or of course, you could hire someone to do this for you, but professional data recovery is time-consuming and very expensive.
- Live without the data. Probably the least palatable option, but it's what happens from time to time when you don't back up your important data.
In your case, since the hardware isn't yours (ruling out 2), and you don't seem to have backups (ruling out 1), it looks like you're left with option 3. I'd look at my ToS/contract, and scream bloody murder at the cloud provider that didn't have actual backups of my data (as I'd expect), but if it's not in the contract or agreement you signed that they'd do backups and protect you from data loss/corruption, you don't have much recourse.