Is there any info how to play this with WOME?
Not that is playtested for balance.
I suggest you try to set up the Factions as close to the actual story at the time of the Breaking of the Fellowship.
Try something like:
Eagles and Dunlendings in play and figures on the board accoridngly.
Replace some of the Isengard Regulars in Gap of Rohan with some Dunlendings.
Place some Eagles in play (in Lorien and Eagles Erie as a starting point.
Test some number of Faction cards in hand and perhaps a few already (randomly) discarded.