I'll amend my honor per hour, by saying Strand of the Ancients seems to be the best honor per hour, for a single Battleground.

Attacking or defending, Wintergrasp is far and away the most honor per time invested.

The pvp mark turn in quest, which is repeatable for 1241 honor, will be faster then focusing on a single BG.
Over time, your gear and experience will improve, and your coordination between your team.
Give it some time, as you grow, you'll get there in the end.