After making my Hobbit Support Deck that takes advantage of secrecy and hobbit pipes, I decided to make a solo deck that uses the same approach. This has a lot of similarities to my No-Engagement Deck, but it's able to generate ridiculous card draw and threat reduction.
Total Cards: (56)
Hero: (3)
1x Glorfindel (Foundations of Stone)
1x Pippin (The Black Riders)
1x Frodo Baggins (Conflict at the Carrock)
Ally: (12)
3x Ithilien Lookout (The Dunland Trap)
1x Henamarth Riversong (Core Set)
2x Bilbo Baggins (The Road Darkens)
1x Arwen Undomiel (The Watcher in the Water)
2x Gandalf (Over Hill and Under Hill)
3x Celduin Traveler (The Nin-in-Eilph)
Attachment: (22)
3x Hobbit Pipe (The Black Riders)
3x Ranger Bow (Assault on Osgiliath)
3x Resourceful (The Watcher in the Water)
3x Light of Valinor (Foundations of Stone)
2x Asfaloth (Foundations of Stone)
3x Good Meal (The Redhorn Gate)
3x Fast Hitch (The Dead Marshes)
1x Song of Wisdom (Conflict at the Carrock)
1x A Burning Brand (Conflict at the Carrock)
Event: (22)
2x A Test of Will (Core Set)
3x Elrond's Counsel (The Watcher in the Water)
3x Risk Some Light (Shadow and Flame)
2x The Galadhrim's Greeting (Core Set)
1x Noiseless Movement (The Three Trials)
1x Dwarven Tomb (Core Set)
3x Daeron's Runes (Foundations of Stone)
1x Out of Sight (The Long Dark)
1x Will of the West (Core Set)
3x Peace, and Thought (Shadow and Flame)
2x Smoke Rings (The Black Riders)
I only have one core set, but if I had a second one I would add in a Galadhrim's Greeting and Dwarven Tomb.
Strategy is fairly simple. Look for a starting hand with LoV, Resourceful, Hobbit Pipe, secrecy allies, and/or Peace and Thought. Hobbit pipes, Daeron's Runes, and Peace and Thought (with Fast Hitches) should give you plenty of card draw. Resourceful and Good Meal help pay for all the cards you draw. If the game lasts a while (10+ rounds), you should be able to draw through your whole deck at least once. Between the secrecy allies and risk some light, you should often know what is coming off the encounter deck.
Frodo does almost all the defending. He gets the first and third Fast Hitch. His ability is an amazing safety blanket and you should still be able to stay in secrecy even while using it occasionally. Arwen can buff him to 3 defense and song of wisdom + burning brand makes him a tank. I wish I could get a hobbit cloak or ring mail on him, but it just isn't worth it to add more songs.
Threat should be low enough that you don't have to engage enemies unless you are ready. After you get an Ithilien lookout or two in play, you can engage one enemy at a time, draw a card with Pippin, block with Frodo, and kill with Glorfy and the lookouts. Ranger bows aren't used much unless you have an enemy that has a nasty engagement effect or attacks multiple times. Willpower is really strong with Celduin travelers, Bilbo, and Arwen. By round 5 you should be questing for 13+. Asfaloth does his thing. Gandalf comes out at the end when you need that power questing or boss fight.
I played this deck twice each against Morgul Vale, the Voice of Isengard quests, and the first 3 Ringmakers and never lost. Most of them were fairly easy except for Three Trials (Out of Sight for the win!). I really enjoy playing Fight at the Fords and Dunland Traps because this deck has so much card draw and those quests punish card draw. It makes for an interesting tango trying to decide when to draw and when to abstain. I tried Into Ithilien to see how it would do against Battle/Seige, and it struggled mightily. 1 win in 7 or 8 tries. I also went 1 for 4 against Nin-in-Eilph because there is too much threat gain with Nalir to stay in secrecy. I don't own any nightmare decks, so I can't comment on those.
If you wanted to use this 2 handed, I would make a few modifications. Take out the ranger bows and inserting a Song of Earendil and Unexpected Courage. A good companion deck should have low threat and ranged attackers so the hobbit deck can engage the enemies. I haven't tried it 2 handed yet, but this should be a good (and thematic) companion deck:
Total Cards: (50)
Hero: (3)
1x Legolas (Core Set)
1x Haldir of Lorien (Trouble in Tharbad)
1x Merry (The Black Riders)
Ally: (18)
1x Rumil (The Three Trials)
2x Silvan Tracker (The Dead Marshes)
3x Eagles of the Misty Mountains (Return to Mirkwood)
1x Gwaihir (Trouble in Tharbad)
1x Landroval (A Journey to Rhosgobel)
3x Vassal of the Windlord (The Dead Marshes)
3x Winged Guardian (The Hunt for Gollum)
1x Radagast (A Journey to Rhosgobel)
3x Warden of Healing (The Long Dark)
Attachment: (20)
1x Black Arrow (On the Doorstep)
2x Dagger of Westernesse (The Black Riders)
2x Lembas (Trouble in Tharbad)
3x Rivendell Blade (Road to Rivendell)
1x Rivendell Bow (The Watcher in the Water)
3x Bow of the Galadhrim (The Nin-in-Eilph)
2x Wingfoot (The Nin-in-Eilph)
2x Support of the Eagles (Return to Mirkwood)
3x Ring Mail (The Long Dark)
1x Horn of Gondor (Core Set)
Event: (12)
2x Feint (Core Set)
3x Foe-hammer (Over Hill and Under Hill)
3x Hands Upon the Bow (Shadow and Flame)
2x Quick Strike (Core Set)
2x Halfling Determination (The Black Riders)
Ring mails would go on Frodo to help him tank. Daggers can go on Glorfindel or Pippin. Other weapons on Haldir first so he can snipe enemies in the staging area or engaged with Frodo. If you happen to have a second copy of Dead Marshes, I'd put in some more fast hitches.
Give it a try and let me know how it goes! I'd love to hear how it works with the companion deck.