Sounds like a plan. Can you get a new drive by then?
You probably know this, but when they say disable SQL Server, they are simply asking you to turn off the service. Of course if you do a complete restore, it's not going to matter.
If you want to be really safe, you could have my friend Raja back up all the databases directly through SSMS. Then reinstall if necessary and restore the SQL databases.
You can move the databases by either turning off the service or using Advanced in Amazing Utilities.
