What's the rush? You'll still need at least six weeks to cap the valor requirement (or less, depending on where you are)
It's not like you NEED to hit revered with him today or tomorrow or this week so just keep running those dailies or mass-pull the mobs on the beach a few times a day.
I hit revered with BP before i hit revered with DO just by doing the daily quests. I'd say just do the quests, get a nice mount too.
You need to get the rep before you get the BG quest, so doing them now won't help you with that quest anyway.