There is one sector in Tamarlane(sp?) , that is fairly easy to beat, Because the computer troop mix is really weak against 1 or 2 unit types. The rest of those sectors with good unit mixes are hard to beat unless you have all EMA and some fair bonuses.
However note, you are fighting all IA troops, so you have to use ALL IA to get the Tower points and you won't get EMA Tower points(IIRC). As I said one battle is fair, the rest are very tough using all IA w/o good bonuses. Winning all the battles might help your IA Tower standing , but it is going to come at a high cost in units , IF you can even win against those +75% troops.
My suggestion is buy that province off (all sectors) minus that 1 sector or if you spot another one with a serious troop weakness you can exploit(I don't recall there being one for the other sectors). You want the Monastery award is all. It is good to have ( like a fairly high "Kremlin" in a 2x2), so you can drop it and fight off plundering neighbors ,if, or when you have any.