@Susquatch : there shouldn't be a crap load of oil in the head to come out. If there is, here is what you do: Wait for your wife to go off on some adventure and sneak a broiling pan out of the drawer to take with you. Flip the head and put the pan underneath. Bring the table up to hold the pan under the head to catch drippings.
Load the mill and take it home through the back stealth entrance. Flip the head, remove the pan, clean it out and put it back carefully. Never complain about the oily taste in the next roast.......simple