I don't bother with Lorien because you have to abandon Dol Guldur. Hard to build up an army there once you have abandoned it.
Like the movies, i start with Isengard, bringing Saurumon in the game early and mustering. His special abilities are critical in cracking Rohan. I go for them first and I ALWAYS take Helm's Deep, Edoras. (3 VPs) Then I go for Minas Tirith and Dol Amroth and Pelagir. (5VPs).
By then I am 2 away in which I go grab the Shire and and a Northern city.
The Fellowship is usually close to the Crack of Doom by the time I get my last VP, by about 2 turns.