This is just an idea of mine but considering Blizzard have put all the time and effort into creating these new dailies to gain rep and it would be a shame to remove them entirely from the process but it is an un realistic task to have to do them over and over on alts. I know that in 5.1 we will be given a rep gain to alts but still people will not want to do dailies on these characters simply because they have done them SO many times on there main.
So my suggestion is this:
Already each reputation at Exalted level offers you the chance to buy a tabard for that faction. Well how about if that tabard was a B.O.A rep gaining tabard(Similar to the model in Cataclysm). That way you would still have to reach exalted by playing through the dailies as intended on your main character but would have an easier way to gain rep when playing alt characters and not having to repeat quests you've done to death before.
Like i said this just an idea i had i thought i would share