This is the list I used to defeat Conflict at the Carrock solo in Nightmare Mode. The quantities may seem a bit random but while it is not perfectly tuned, it is a more delicate machine than you might think so give it a try first. For example, it may seem obvious that you want more than one Light of Valinor, but I'm sure that you don't.
The idea of the deck is to quest slowly for seven turns while setting up your board, drop three traps, use Risk Some Light to make sure there isn't an enemy on top, then trap three of four unique trolls, which you can then kill at your leisure. Early turn priorities are getting your draw engines set up and getting Resourceful down, as traps are quite resource intensive. Put the first one on a spirit hero, as you will need the flexibility later on to cast repeated The Galadhrim's Greeting and Map of Earnil, but use Bifur's ability aggressively early.
Wait to drop Gandalf until perhaps the turn after the trolls come down, as you will need his attack and quest, but you do not want to have to give him up as you will not want to give up your Silvan Refugee until the very late game.
Finally, don't use Protector of Lórien (which obviously goes on Frodo) too aggressively, as you may need all the cards from both draws through your deck.
This is quite a fun engine deck and well matched with this scenario.
Hmm.. I played one Gléowine as well and it seemed fairly important, but I'm not sure what the cut was. Hasty Stroke is probably disposable.