After listening to Mark Klass, I have changed my mind. I first voted "if LP buys the property, I think he should turn it into a park or memorial." Listening to MK drove home the point that the place the body is deposited is not "holy ground." It is the site of a great tragedy, and best not memorialized.
If LP had NO CONNECTION to the case, if he was just a buyer off the street, and he bought the property to establish a park, that would be OK. In Mark's experience, those who insinuate themselves into a family's pain often have some sort of WRONG, MISPLACED, INAPPROPRIATE "ownership" of the murdered child that is offensive to the child's remaining family. Following Mark's reasoning, LP's attempt is misplaced and offensive. And Mark, having walked in the shoes of the parent of a murdered child, knows much more than most of us will ever know about how that feels.
I now hope that LP does not buy the property.
And if he does, that he does not attempt to use the property to establish any sort of "memorial."