There is another hard drive where I mined Bitcoin in 2010 and that hard drive is working and files were not overwritten, but file recovery program cannot find bitcoin qt files. (This hard drive İDE)
I waiting for your ideas and suggestions.
Look up whatever latest software forensic professionals are using. I know Recuva but that is very casual, you would need the best in the game, probably external tools and hardware. Avoid all of these dodgy "give me your HDD and we will give you back your coins".
Also are you sure you used NTFS format? try FAT32. It was still used back then. Always backup the data before doing format conversions.