Advanced Inventory Management (the forward slash key) lets you manage everything immediately adjacent to you. When you press it, you are shown two windows. You can use the Number Pad to specify a direction relative to your current position, which would be 5, and everything on the indicated tile shows up in the selected window. Tab switches between the two windows and each window shows the contents of the tile selected for it. 5 specifies the tile you are standing on, “D” is the contents of whatever you are grabbing, and “A” is the contents off all adjacent tiles, except the one selected in the other window, grouped together in the selected window. Use the “,” key by default to move all items in one window to the other window. This can allow you to move all corpses in tiles adjacent to your character into one tile, then move them one tile at a time somewhere else.
It’s not quite automatic movement, but it does save a bit of time versus manually picking up each one and dumping it where you want to. I think corpses do eventually disappear on their own however, courtesy of biological decay, so you may just be able to wait.
Alternatively, you can weld a cargo carrier to a shopping cart frame and run around town yelling, “Bring out your dead!”