Super Bilbo + Suicidal support

The 1st and main deck is a tweaked version of Seastan's Super Bilbo deck, so all credits to him. Although this deck is a monster on its own (both Seastan's and my tweaked version), perfectly capable of beating all quests in solo mode, the victory-rate skyrockets when paired with the 2nd deck, called the suicidal support. The main idea is to use this 2nd deck to setup as much as possible the main deck, and then the support deck commits suicide before staging to reveal only 1 card during questing for the rest of the game (note how all the heroes can kill themselves for no reason and whenever you want).

Ideal run: Play Song of Eärendil on Caldara, and then play all the Deep Knowledge cards around (fish them with The Seeing-stone), loading all the threat in the support deck (or use Loragorn's reset if you didn't get Song of Eärendil). This should leave the main deck with a massive starting hand. Then, play Song of Kings from the support deck on Bilbo, and the main deck can proceed to play Legacy of Númenor, which should allow the support deck to play even more cards. Once done, use Desperate Alliance on Treebeard (if you managed to put The Fall of Gil-galad on him earlier then the better), and that will allow the main deck to draw 4 cards with Mithrandir's Advice.

Although there are two decks, they should be seen as one, as a new approach to playing solo. The main deck has no problems handling the extra card added during setup (note that some quests don't even add extra stuff as you add more players, like Escape from Dol Guldur or The Siege of Cair Andros).