Personally, I wouldn't worry so much about the wear and tear on the flash drive. They aren't that fragile, and transfers of registrations are super easy.
But, I'm not going to support putting the tail onto any other device as the boot drive is the only persistent storage device that is guaranteed to always be available.
Rather than try to link files, you can just tail it yourself with something like tail -f /var/log/syslog > /whereEverMountPoint/syslog.txt You won't however get the extra debugging information that may or may not shed any clues on the issue.