Recover with original file name

[Hotdog75]

When I downloaded a piece of "junk" software to a flash drive and then decided to uninstall it, it wiped out the entire flash drive to the tune of 19,927 files.  Unfortunately, I have been remiss in backing it up and everything was lost.  I recovered it all but see that Recuva assigns its own file names.  I really don't want to look at nearly 20,000 files in order to rename them.  Is there ANY way to recover the files with their original names?  I hate to say it, but even using another software?  I'm willing to spend some serious money if I must.  These are critical document and will seriously impact my job negatively.  Any help or suggestions will be sorely appreciated.