I don't have the Mines of Moria box myself, but I have played through the scenarios when they were on the MoM website. They used Fellowship without heroic stats (MWF) and special rules, just like regular warriors but with higher stats.
The first scenario was about learning to move and shoot, had the Fellowship dashing through a few goblins shooting at them, no charging allowed. Silly scenario.
The second one was about learning the fight phase, Aragorn trying to break through a few goblins.
Third one combined move, shoot and fight, the rest of the Fellowship fighting many goblins. Aragorn was available as a reinforcement at some point, if I remember correctly.
Fourth one had all models on table, Fellowship vs. all 24 goblins and troll, and goblins had some reinforcement rule, like coming through some hatches on the floor, which the fellowship could close. Gandalf had his first spell available in this one.
Vague memories, but you can probably construct something similar; the main point in MoM scenarios was to introduce the rules gradually and skip all the heroic stuff.
-- Pasi