I'm surprised I couldn't find more examples of this. ket recently posted a deck here: 
https://lotrtcgwiki.com/forums/index.php?topic=11747.msg96934#msg96934In Fellowship Block especially, it's pretty clear-cut: go slow, clog your opponent's hand completely, and get a Shadow kill. Most decks only plan to keep Frodo alive up to site 8 because the game should be over by then -- either your Shadow side isn't going to be able to close the deal or you've won. You'll cancel most skirmishes until site 6, where there won't be enough twilight to threaten you. Site 7 might require you to use 
Bounder or 
There and Back Again or Thrarin, site 8 you'll use whatever's left.
I have a totally different take on it, but the deck isn't built for Fellowship block. A few quick substitutions and here's what I come up with. Again, this is totally untested.
Baggins Choke
Ring-bearer: 
Frodo, Old Bilbo's HeirRing: 
The One Ring, Isildur's BaneAdventure deck:
Hobbiton Party FieldBuckleberry FerryFord of Bruinen (if you're playing Nazgul, duh)
Frodo's Bedroom (otherwise)
Free Peoples Draw Deck: (33 cards)
3x 
Bilbo, Well-spoken Gentlehobbit2x 
Bounder1x 
Filibert Bolger, Wily Rascal3x 
Hobbit Party Guest1x 
The Gaffer, Sam's Father1x 
Bill the Pony2x 
Red Book of Westmarch2x 
Sting1x 
Mithril-coat4x 
Hobbit Intuition4x 
Hobbit Stealth3x 
Practically Everyone Was Invited2x 
Consorting With Wizards2x 
O Elbereth! Gilthoniel!1x 
Stone Trolls1x 
There and Back AgainThe idea is to use 
Sting and 
Consorting with Wizards to make the twilight pool 0 at the end of every Fellowship phase. All the skirmish cancelling will give you a break if you need to drop a lot of twilight for some reason (e.g., Red Book and Bilbo and 
Mithril Coat all at once). The biggest disadvantage of this deck is that it takes time to set up whereas chet's is ready from the start and has no real "key" cards you have to protect. However, the advantages are free card drawing and greater 
durability for those games when you have to try to survive site 9 yourself. I cut this one pretty tight, but it's not hard to find 3 cards to remove so you can really maximize your Shadow side's effectiveness. Maybe remove 4 and add 
Thrarin, Dwarven Smith?