Imperial makes a dry neck lube which I use for that area of the case. Just dip the neck into the media and its "lubed". I wipe it off the outside once the case is sized.
I've often used a sonic cleaner to get the inside of my cases clean but am starting to rethink that. The last couple of batches have been fine without worrying about the inside of the case other than using a brush to knock any loose powder out of the neck and cleaning out the primer pocket.
