BSOD is a software error. Moving the drive to a different computer and trying to boot from it wont fix it.
Boot up the 2nd computer normally and then use the drive adapter to attched the problem drive to the computer. You now should be able to access the problem drive with windows explorer and copy the files you want off of it. (Copy not Move. Move deletes the original file and you dont want to do that until you are sure the file copied ok. ok?) There is no need to delete the original files unless you feel its a security risk or something.