You can grind a full set of pvp gear with honor, and you don't even need to fight anyone if you wait for an AV call to arms.
Thing is tho, if you lose a ton in arena, your MMR will go down and eventually you will be fighting people with the same skill/armor as you, it just might take about 10 loses in a row until it starts working how it should. But at that point it doesn't matter, all you need to do is win 8 arenas per week to reach your conquest cap.