For Great Honour is a PvP quest obtained by the Battlemasters; the quest requires 1 of each battlegrounds 'Mark of Honour.'
Currently on Medivh it is impossible to get Alteric Valley marks - I do not know about Outland but Medivh is said to use the same client - this is because Alteric Valley is literally un-queuable for and if It was queuable for there wouldn't be enough people PvPing to fire the battleground.
Certain PvP gear pieces require Alteric Marks - Unobtainable.
Create a solution, there has been many good solutions posted already but I will re-iterate a few.
Make For Great Honour able to be handed in without AV marks and reduce the honour granted by 1/4.
Change the gear which requires AV marks to WSG/AB/EoTS marks.
Make a tool in the Accessories quartermaster where you can trade Warsong, AB or EOTS marks for Alteric Valley marks.
Such simple changes that would allow people to actually have a reasonable rate of farming honour. An added benefit would be having a use for the literal hundreds of marks that some players have stocked.