Believe it or not, I am planning to complete this – and do The Hobbit, too. But real life keeps getting in the way.
The Two Towers, Book 3, Chapter 2: The Riders of Rohan
Chapter synopsis: Aragorn, Gimli and Legolas continue their chase for three days, running with remarkable speed through the land of Rohan, but to their dismay it seems that Orcs are hardly resting at all, and their advantage is ever increasing. On the fourth day they meet a company of the Rohirrim, the Men of Rohan, led by Éomer, the Third Marshal of Rohan and the nephew of Théoden the King of Rohan. Aragorn explains them the purpose of their hunt after the Orcs, and Éomer tells that the Rohirrim have attacked and destroyed that band of Orcs two days ago, yet found no hobbits among them. They exchange some news, and Éomer is impressed with Aragorn and the quick journey that he and his two companions have made in the past few days. He gives them leave to travel through Rohan, and gives them spare horses. Aragorn, Gimli and Legolas continue along the trail and reach the site of the battle near the eaves of the great forest of Fangorn that evening. They find no traces of the hobbits. That night an old man appears (and disappears quickly) near their camp, and all their horses flee; they suspect the man to be the evil wizard Saruman.