For now, you could try Recuva? They might support exFAT (though I'm not totally sure).
Yes, I'd say so.
Recover Files Corrupt
Unfortunately there are no guarantees that recovered files will be complete; Windows may overwrite parts of the data as soon as you delete them. The recovery program just does the best it can.
Fix for this was released in 1.5.4. Thanks for the patch :)
Invalid path characters crash the program
Fix invalid character exception
LGTM, thanks!