I think you need more site controlling cards and
Mordor Pillager has one of the best site controlling abilities. Many decks run 3 cultures and even if they don't, someone gets exerted which is good for your shadow. Not to mention he's fierce. I'd also lower the number of
Din of Arms since you need to spot besiegers and you have Uruk-hai who are not besiegers and throw in some other methods of site controlling such as one more copy of
Troop Tower. 3 copies of
No Dawn for Men seems too much. Especially since it targets unbound companions only. I don't see
Gorgoroth Swarm or Ulaire Enqua in your deck, but since you're running Uruk-hai, I'm surprised there isn't at least one copy of
Greed.
There is also a chance to use
Race Across The Mark to prevent your Uruk-hai from dying,
Their Marching Companies to stack in on a site and
Pillage of Rohan to make lots of trouble.
Since you're running a type of wounding deck,
Devilry of Orthanc might be a better choice, especially if you add Shagrat or two since he has more vitality.
We are the fighting Uruk hai could be a nice surprise.
You'll notice I have plenty of great ideas

I love
![Sauron [Sauron]](https://lotrtcgdb.com/forums/Smileys/classic/sauron.png)
uruk-hai and was considering a besieger-uruk deck.
