If it hasn't repartitioned the drive (and it probably hasn't if you've been choosing the reinstall), then you can probably just connect the drive to a working computer (via a USB enclosure for example) and browse the drive and copy the files.
Hopefully the drive is only bad in a small area and the rest you can read from.
If it's worse than that (i.e. you can't read from any portion of the drive), then you might be looking at a much more complex and expensive process.
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