The only theory I thought plausible by way of an "inside job" scenario, was of the brother doing the killing and the parents covering up so as to not lose both children.
Too complicated, the easy explanation is one of the parents killed her, maybe on accident (punishment gone wrong), maybe on purpose (serious perversions I’d rather not contemplate). But there’s no way other than an inside job they could “search” the house multiple times and not find her, not to mention the absurdity of the multiple page ransom note written on site. The parents simply had to be involved, either that or the criminal was ridiculously brazen AND lucky the household found a way to sleep through the whole thing.