Annuminas Stage E/F
The E/F stage of Annuminas is extra combat-heavy, and this group of decks successfully handled the challenge. They were built with the goal of defeating all enemies in play and getting 10 progress on stage 1 each turn. They were also designed to still function with 3 players by dropping the Legolas deck.
The most important pieces are Steward and Wrath, so use Heed the Dream to grab them if you need to. Steward goes on Aragorn, so now the Aragorn deck produces 4 tactics resources a turn, and with Hama it can keep playing Hour of Wrath every combat phase.
During the combat phase, the Aragorn player engages an enemy (generally in stage 1 this is a warg, and in stage 2 it's the Hosts of Angmar because they are immune to Aragorn's ability). Leave everything else in the staging area. This is possible thanks to everybody's low threat, and threat-reducing cards like The Galadhrim's Greeting, Song of Eärendil, Secret Vigil, and Double Back.
After defending or chump blocking the one enemy, Brand gets targeted with Hour of Wrath and he and Aragorn sweep the table. Every time an enemy is killed, Brand readies Aragorn, Aragorn engages an enemy from the staging area, Pippin draws a card, and the Blades of Gondolin trigger. Hama joins in for one of the attacks and pulls back Hour of Wrath for next turn.
Important note: Stage 1 starts with a Vanguard in the staging area, preventing more than 5 progress from being placed on the quest. The key to getting to 10 progress on turn 1 relies on choosing the Vanguard as the first target to pull down with Aragorn after you kill the first enemy, and using the Blades of Gondolin and Legolas on the following enemies to place the needed progress. Putting Cram on Legolas can help here. I think if we were to do this again we'd also include some Miruvor and Rohan Warhorses in the Spirit/Tactics decks to make this even more reliable.
A good time to do Double Back is in stage 2, but only after you already have some progress on the main quest.