My "routine" before switching to hunters (still levelling them) was this: Keep, Pinnacle, Gundrak, Drak'Theron and finish off with CoT. I think that's about 20 emblems. Took me about 3 hours, depending on how much I slacked (I tend to afk a lot). With 20 emblems a day, you'll quickly have all the emblems and rep gear you need (plus some emblems for future gear).

Skadi is a pain and so is the mojo boss, but other than that, the strategies quickly becomes routine.