I ama new player, here is my dwarf deck that I used in solo play and after a couple tries I completed Through the Mirkwood with it.

HEROES

Gimli

Gloin

Thorin Oakenshield

ALLIES

Gandalf x3

Fili x3

Kili x3

Erebore battle master x2

Veteran of Nanduhirion x2

Bofur x2

Longbeard Elder x3

EVENTS

Fresh Tracks x3

Durin's Song x3

Timely Aid x3

Khazad! Khazud! x3

Lore of Moria x3

Sneak Attack x3

Valiant Sacrifice x3

Campire Tales x3

Hidden Cache x3

ATTACHMENTS

Resourceful x3

Citadel Plate x2

Ring Mail x3

Dwarven Axe x2

Darrowdelf Axe x3

Celebrian's Stone x1

Looks like fun, and a very capable deck for handling a bunch of enemies. By looking at it, I would guess that your main difficulty will be the questing phase, especially if the encounter deck throws a bunch of locations at you. I'm not a fantastic deck builder, but here are a couple of suggestions:

Kili: Since you can't play him directly (no Spirit resources), you could just put 1 or 2 copies of Kili instead of 3. It is Fili who you really want to draw, and he'll bring his brother with him. The danger is that you might draw Kili early, making it impossible for Fili to use his Response. With just 1 copy of Kili in your deck, though, that's not too likely. If Kili somehow ends up in your discard pile, a nice card for him is To Me! O My Kinsfolk!, which will let you get one more use out of him, then put him back in your deck for Fili to draw out again.

Campfire Tales isn't so useful in a solo game. Pay 1 resource to draw 1 card -- if Campfire Tales wasn't in your deck, you would have drawn that next card anyway, without using the resource. Some people do use it to thin their decks, i.e. help their deck get to the 50 card minimum without blocking their ability to draw the cards they really want.

Adding Song of Battle, if you've got it, could help Gloin pay for all those expensive Tactics cards in here.

Fresh Tracks combos very well with Hail of Stones.

that's all I've got for ya at the moment!

Thanks. What packs are Hail of Stones and Song of Battle in?

Song of Battle comes from the Dead Marshes and Hail of Stones is in Road to Rivendell. Since you don't have Song of Battle at the moment, I'd recommend Narvi's Belt (looks like you do have the Khadaz-dum expansion). That would allow Gloin to pay for Tactics cards (one phase per turn), or even the Spirit Kili.

I know I have Hail of Stones, what do you suggest I take out to make room for it?

You could replace Resourceful with Steward of Gondor, which is a more powerful card but unique. Gloin will be happy to pay for some things with Narvi's Belt and a Citadel Plate.

To make room for Hail of Stones, you could take out Campfire Tales as I mentioned above, and Hidden Cache will not be so optimum in this deck. For that card to work, you want it to be discarded, but you don't have anything that will discard from your deck (like Zigil Miner or the newer Ered Nimrais Prospector). Although as previously mentioned, if you are just aiming to thin out your deck, Campfire Tales and Hidden Cache fill those roles nicely. Maybe drop Timely Aid, which is a nice card but mostly good for a Secrecy deck. It costs 4, and all of your allies (except Gandalf) cost 4 or less, so at best you save 1 resource, at worst you lose one (or all 4 if you don't reveal any allies). If Timely Aid was meant to translate Leadership resources into Tactics ones, but that would still be a gamble, and Narvi's Belt could provide you with more consistency.

After having said all that, let it be known that I do lose a lot of games. If you really want solid advise you need to talk to the folks who complain that this game is too easy

Oh, and I should of course say that King Under the Mountain is a game-changer for a Dwarf deck, and of course Dain if you have him (Return to Mirkwood pack). Could swap Thorin and Dain since Gimli can handle attack, and Dain will provide a global willpower boots to seriously increase questing power.