Find a bunch of people that I don't know and make a excuse to get them in the same place then starve them
Go to a large place full of people and start sniping people XD
Find a tunnel nobody knows about that leads under the white house and fill it with TNT and gasoline then make a trail of gasoline and light it when there is a press conference
Leave it where it is
Feed it to some hogs
Cut it up and put it in random places around the world
Ether a stick or an icicle
No, just walk away
Yes, pretend you found the body
Yes, give them hints that are wrong using a pay phone all the way across the country from where you live.
II would be in the crowd as they scan the crime scene but I would look completely harmless.