Here, we have to posit a conspiracy powerful and cold-blooded enough to commit and cover up murder, but which is too inept to to put any significant distance between (presumed) co-conspirator and victim. I think we need to give equal consideration to the possibility of it being a 'doorstep suicide,' where a troubled person ends their life in proximity and as a reproach to a perceived antagonist, if only because of Occam's Razor.