I think that there should be a command that whatever is in your hands, it is going on the ground. Just like free hands seemingly attempt to stash whatever is in your hands, I think drop hands (DH) should drop whatever is in the hands.
There are times (combat) that you can't use FH to empty your hands because whatever you are holding something too big to fit inside of your inventory. So you may not be able to draw a weapon to defend yourself until you figure out what is in your hands and type out the command to drop each of them by name.
A shortcut to drop whatever you are holding would be very helpful in this.
