You should drop synthetic DNA in it and then sample all nearby lakes and do PCR. Even aftera trillion-fold dilution it should be detectable. Would be cheap, easy and very likely to work. A cool weekend project for your kids!
Sounds like the backstory for a Lake Placid or Piranha-style movie...
1. See also the Malaysian Airlines disappearance thread.
I guess there is some risk in some circumstances that the DNA will affect organisms just by being present in their environment, without having been actively introduced into their cells?