In my experience, hackers don't normally keylog themselves. That's the kind of thing they'd rather avoid — it could be especially disastrous if your computer were stolen like this.
Encrypt the logs with your public key. Do not keep the private key anywhere near the machines, containing the encrypted logs. Move logs to a remote secure storage (co-located or home-hosted) as soon as Internet connection's available. Assure reasonable amount of electronic and physical security of the storage servers.
Problem solved!