Two mana looms in Shatt by the tialoring specialists. One in silvermoon by the tailoring trainer, so logic tells me there should be one in Exodar as well. Draeneis did start at Exodar, right?
No mana looms in the old horde cities (Org, UC, TB) though somy guess would be that you have to travel.
There isn't a manaloom in Exodar? Odd. Would have thought that if they put one in Blood Elf starting city, they would do the same for draeneis. *feels puzzled*