Here's what I would probably do:
Check if the drive is recognised in BIOS, first. If so, then:
get a thumb drive, install Ventoy https://www.ventoy.net/ on it, add Hiren's Boot CD (HBCD) iso to the drive, insert it into computer and boot to the thumbdrive, then boot HBCD.
Now you will need somewhere to copy/backup the data to, have that prepared - another USB drive for e.g., plug that in and copy the data from the problem drive to the backup drive. HBCD has programs to help with this, e.g unstoppable copier is one I like, there are several already installed on there, if you don't use cmd/robocopy.
Hope that helps!