For direct counters you also have
Gorgoroth Swarm and
Far Harad Mercenaries (not useless against
SftF decks that include exactly 9 companions in the deck, but usually counterproductive the rest of the time).
Hidden Even From Her gets a bonus. There's
Mumak Commander too, which needs a big fellowship.
Nazgul Scimitar in conjunction with
Cantea FtW is
sorta big fellowship hate though it's a pretty unimpressive combo all told.
I cast my net a bit wider than most though.
Field of the Fallen and
Houses of Lamentation are much more likely to get use against big fellowships. Super expensive cards are indirectly good Fellowship control as well. I have fun with
Plotting in some decks, rarely worth affording normally (and probably the first card in a serious deck to get streamlined).
Siegecraft is in a similar boat. I got
Southron Conqueror to punish Ents once or twice before I cut it out.
Morgul Detachment is a 1x in a few of my Nazgul decks since it's often not worth playing without a sturdy Nazgul. Haven't played King Block itself though, no idea whether there's any point in such indirect counters.