Something we completely neglected to mention in the problem statement, but might come up is: What kind of theory of time travel are we dealing with here?
If it is a Back to the Future future type situation, you might be seriously worried that your actions if too drastic might lead to yourself never existing.
If it is a Terminator future type situation, you are assured that if you haven't heard of your evidence being discovered before you went back, the best you could hope for would be for your evidence to be discovered after you left, i.e. in your original future.
Worth kicking around, perhaps.